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Finding the Fourth Proportional to 442,393.47, 663,588.14 and 138,809.85

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Solution

The fourth proportional to 442,393.47, 663,588.14 and 138,809.85 is: 208,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,393.47 : 663,588.14 = 138,809.85 : x
  2. Step 2: Convert to fraction form
    442,393.47/663,588.14 = 138,809.85/x
  3. Step 3: Cross multiply
    442,393.47x = 663,588.14 × 138,809.85
  4. Step 4: Simplify right side
    442,393.47x = 92,112,570,175.18
  5. Step 5: Solve for x
    x = 92,112,570,175.18/442,393.47
  6. Step 6: Final answer
    x = 208,214.13

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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.