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Finding the Fourth Proportional to 523,173, 721,978.74 and 284,709

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Solution

The fourth proportional to 523,173, 721,978.74 and 284,709 is: 392,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,173 : 721,978.74 = 284,709 : x
  2. Step 2: Convert to fraction form
    523,173/721,978.74 = 284,709/x
  3. Step 3: Cross multiply
    523,173x = 721,978.74 × 284,709
  4. Step 4: Simplify right side
    523,173x = 205,553,845,086.66
  5. Step 5: Solve for x
    x = 205,553,845,086.66/523,173
  6. Step 6: Final answer
    x = 392,898.42

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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.