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Finding the Fourth Proportional to 502,207.12, 692,876.88 and 284,386

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Solution

The fourth proportional to 502,207.12, 692,876.88 and 284,386 is: 392,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,207.12 : 692,876.88 = 284,386 : x
  2. Step 2: Convert to fraction form
    502,207.12/692,876.88 = 284,386/x
  3. Step 3: Cross multiply
    502,207.12x = 692,876.88 × 284,386
  4. Step 4: Simplify right side
    502,207.12x = 197,044,484,395.68
  5. Step 5: Solve for x
    x = 197,044,484,395.68/502,207.12
  6. Step 6: Final answer
    x = 392,357.01

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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.