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Finding the Fourth Proportional to 502,511.96, 693,493.08 and 284,762.90

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Solution

The fourth proportional to 502,511.96, 693,493.08 and 284,762.90 is: 392,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,511.96 : 693,493.08 = 284,762.90 : x
  2. Step 2: Convert to fraction form
    502,511.96/693,493.08 = 284,762.90/x
  3. Step 3: Cross multiply
    502,511.96x = 693,493.08 × 284,762.90
  4. Step 4: Simplify right side
    502,511.96x = 197,481,100,590.73
  5. Step 5: Solve for x
    x = 197,481,100,590.73/502,511.96
  6. Step 6: Final answer
    x = 392,987.86

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1.5x scale

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.