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Finding the Fourth Proportional to 612,594, 919,459.60 and 313,288.48

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Solution

The fourth proportional to 612,594, 919,459.60 and 313,288.48 is: 470,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,594 : 919,459.60 = 313,288.48 : x
  2. Step 2: Convert to fraction form
    612,594/919,459.60 = 313,288.48/x
  3. Step 3: Cross multiply
    612,594x = 919,459.60 × 313,288.48
  4. Step 4: Simplify right side
    612,594x = 288,056,100,505.41
  5. Step 5: Solve for x
    x = 288,056,100,505.41/612,594
  6. Step 6: Final answer
    x = 470,223.51

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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.