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Finding the Fourth Proportional to 531,987.20, 734,041.62 and 317,147.24

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Solution

The fourth proportional to 531,987.20, 734,041.62 and 317,147.24 is: 437,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,987.20 : 734,041.62 = 317,147.24 : x
  2. Step 2: Convert to fraction form
    531,987.20/734,041.62 = 317,147.24/x
  3. Step 3: Cross multiply
    531,987.20x = 734,041.62 × 317,147.24
  4. Step 4: Simplify right side
    531,987.20x = 232,799,273,828.13
  5. Step 5: Solve for x
    x = 232,799,273,828.13/531,987.20
  6. Step 6: Final answer
    x = 437,603.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.