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Finding the Fourth Proportional to 523,013.76, 721,663.02 and 351,181.17

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Solution

The fourth proportional to 523,013.76, 721,663.02 and 351,181.17 is: 484,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,013.76 : 721,663.02 = 351,181.17 : x
  2. Step 2: Convert to fraction form
    523,013.76/721,663.02 = 351,181.17/x
  3. Step 3: Cross multiply
    523,013.76x = 721,663.02 × 351,181.17
  4. Step 4: Simplify right side
    523,013.76x = 253,434,463,709.33
  5. Step 5: Solve for x
    x = 253,434,463,709.33/523,013.76
  6. Step 6: Final answer
    x = 484,565.58

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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.