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Finding the Fourth Proportional to 523,056, 721,817.28 and 284,592

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Solution

The fourth proportional to 523,056, 721,817.28 and 284,592 is: 392,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,056 : 721,817.28 = 284,592 : x
  2. Step 2: Convert to fraction form
    523,056/721,817.28 = 284,592/x
  3. Step 3: Cross multiply
    523,056x = 721,817.28 × 284,592
  4. Step 4: Simplify right side
    523,056x = 205,423,423,349.76
  5. Step 5: Solve for x
    x = 205,423,423,349.76/523,056
  6. Step 6: Final answer
    x = 392,736.96

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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.