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Finding the Fourth Proportional to 766,584,970.60, 1,149,877,455.90 and 421,405,220.20

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Solution

The fourth proportional to 766,584,970.60, 1,149,877,455.90 and 421,405,220.20 is: 632,107,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,584,970.60 : 1,149,877,455.90 = 421,405,220.20 : x
  2. Step 2: Convert to fraction form
    766,584,970.60/1,149,877,455.90 = 421,405,220.20/x
  3. Step 3: Cross multiply
    766,584,970.60x = 1,149,877,455.90 × 421,405,220.20
  4. Step 4: Simplify right side
    766,584,970.60x = 484,564,362,506,555,328
  5. Step 5: Solve for x
    x = 484,564,362,506,555,328/766,584,970.60
  6. Step 6: Final answer
    x = 632,107,830.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.