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Finding the Fourth Proportional to 442,398.48, 663,595.64 and 138,814.86

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Solution

The fourth proportional to 442,398.48, 663,595.64 and 138,814.86 is: 208,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,398.48 : 663,595.64 = 138,814.86 : x
  2. Step 2: Convert to fraction form
    442,398.48/663,595.64 = 138,814.86/x
  3. Step 3: Cross multiply
    442,398.48x = 663,595.64 × 138,814.86
  4. Step 4: Simplify right side
    442,398.48x = 92,116,935,863.21
  5. Step 5: Solve for x
    x = 92,116,935,863.21/442,398.48
  6. Step 6: Final answer
    x = 208,221.64

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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.