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Finding the Fourth Proportional to 502,614.24, 693,647.28 and 287,821.92

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Solution

The fourth proportional to 502,614.24, 693,647.28 and 287,821.92 is: 397,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,614.24 : 693,647.28 = 287,821.92 : x
  2. Step 2: Convert to fraction form
    502,614.24/693,647.28 = 287,821.92/x
  3. Step 3: Cross multiply
    502,614.24x = 693,647.28 × 287,821.92
  4. Step 4: Simplify right side
    502,614.24x = 199,646,891,932.38
  5. Step 5: Solve for x
    x = 199,646,891,932.38/502,614.24
  6. Step 6: Final answer
    x = 397,216.94

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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.