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Finding the Fourth Proportional to 398,521.52, 549,956.10 and 217,233.44

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Solution

The fourth proportional to 398,521.52, 549,956.10 and 217,233.44 is: 299,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,521.52 : 549,956.10 = 217,233.44 : x
  2. Step 2: Convert to fraction form
    398,521.52/549,956.10 = 217,233.44/x
  3. Step 3: Cross multiply
    398,521.52x = 549,956.10 × 217,233.44
  4. Step 4: Simplify right side
    398,521.52x = 119,468,855,451.98
  5. Step 5: Solve for x
    x = 119,468,855,451.98/398,521.52
  6. Step 6: Final answer
    x = 299,780.19

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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.