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Finding the Fourth Proportional to 442,399.48, 663,597.14 and 138,815.86

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Solution

The fourth proportional to 442,399.48, 663,597.14 and 138,815.86 is: 208,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,399.48 : 663,597.14 = 138,815.86 : x
  2. Step 2: Convert to fraction form
    442,399.48/663,597.14 = 138,815.86/x
  3. Step 3: Cross multiply
    442,399.48x = 663,597.14 × 138,815.86
  4. Step 4: Simplify right side
    442,399.48x = 92,117,807,682.64
  5. Step 5: Solve for x
    x = 92,117,807,682.64/442,399.48
  6. Step 6: Final answer
    x = 208,223.14

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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.