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Finding the Fourth Proportional to 486,130.71, 728,146.29 and 474,233.43

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Solution

The fourth proportional to 486,130.71, 728,146.29 and 474,233.43 is: 710,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,130.71 : 728,146.29 = 474,233.43 : x
  2. Step 2: Convert to fraction form
    486,130.71/728,146.29 = 474,233.43/x
  3. Step 3: Cross multiply
    486,130.71x = 728,146.29 × 474,233.43
  4. Step 4: Simplify right side
    486,130.71x = 345,311,312,648.48
  5. Step 5: Solve for x
    x = 345,311,312,648.48/486,130.71
  6. Step 6: Final answer
    x = 710,326.06

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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.