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Finding the Fourth Proportional to 490,830.60, 735,209.10 and 407,886.60

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Solution

The fourth proportional to 490,830.60, 735,209.10 and 407,886.60 is: 610,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,830.60 : 735,209.10 = 407,886.60 : x
  2. Step 2: Convert to fraction form
    490,830.60/735,209.10 = 407,886.60/x
  3. Step 3: Cross multiply
    490,830.60x = 735,209.10 × 407,886.60
  4. Step 4: Simplify right side
    490,830.60x = 299,881,940,088.06
  5. Step 5: Solve for x
    x = 299,881,940,088.06/490,830.60
  6. Step 6: Final answer
    x = 610,968.31

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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.