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Finding the Fourth Proportional to 502,458.65, 753,264.22 and 217,934.90

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Solution

The fourth proportional to 502,458.65, 753,264.22 and 217,934.90 is: 326,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,458.65 : 753,264.22 = 217,934.90 : x
  2. Step 2: Convert to fraction form
    502,458.65/753,264.22 = 217,934.90/x
  3. Step 3: Cross multiply
    502,458.65x = 753,264.22 × 217,934.90
  4. Step 4: Simplify right side
    502,458.65x = 164,162,562,459.28
  5. Step 5: Solve for x
    x = 164,162,562,459.28/502,458.65
  6. Step 6: Final answer
    x = 326,718.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.