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Finding the Fourth Proportional to 308,593.38, 462,142.56 and 213,557.24

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Solution

The fourth proportional to 308,593.38, 462,142.56 and 213,557.24 is: 319,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,593.38 : 462,142.56 = 213,557.24 : x
  2. Step 2: Convert to fraction form
    308,593.38/462,142.56 = 213,557.24/x
  3. Step 3: Cross multiply
    308,593.38x = 462,142.56 × 213,557.24
  4. Step 4: Simplify right side
    308,593.38x = 98,693,889,600.13
  5. Step 5: Solve for x
    x = 98,693,889,600.13/308,593.38
  6. Step 6: Final answer
    x = 319,818.56

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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.