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Finding the Fourth Proportional to 531,712.80, 797,295.60 and 157,687.20

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Solution

The fourth proportional to 531,712.80, 797,295.60 and 157,687.20 is: 236,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,712.80 : 797,295.60 = 157,687.20 : x
  2. Step 2: Convert to fraction form
    531,712.80/797,295.60 = 157,687.20/x
  3. Step 3: Cross multiply
    531,712.80x = 797,295.60 × 157,687.20
  4. Step 4: Simplify right side
    531,712.80x = 125,723,310,736.32
  5. Step 5: Solve for x
    x = 125,723,310,736.32/531,712.80
  6. Step 6: Final answer
    x = 236,449.66

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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.