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Finding the Fourth Proportional to 442,672.40, 663,825.26 and 138,965.06

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Solution

The fourth proportional to 442,672.40, 663,825.26 and 138,965.06 is: 208,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,672.40 : 663,825.26 = 138,965.06 : x
  2. Step 2: Convert to fraction form
    442,672.40/663,825.26 = 138,965.06/x
  3. Step 3: Cross multiply
    442,672.40x = 663,825.26 × 138,965.06
  4. Step 4: Simplify right side
    442,672.40x = 92,248,514,113.70
  5. Step 5: Solve for x
    x = 92,248,514,113.70/442,672.40
  6. Step 6: Final answer
    x = 208,390.03

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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.