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Finding the Fourth Proportional to 418,423.47, 627,599.65 and 165,635.23

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Solution

The fourth proportional to 418,423.47, 627,599.65 and 165,635.23 is: 248,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,423.47 : 627,599.65 = 165,635.23 : x
  2. Step 2: Convert to fraction form
    418,423.47/627,599.65 = 165,635.23/x
  3. Step 3: Cross multiply
    418,423.47x = 627,599.65 × 165,635.23
  4. Step 4: Simplify right side
    418,423.47x = 103,952,612,375.67
  5. Step 5: Solve for x
    x = 103,952,612,375.67/418,423.47
  6. Step 6: Final answer
    x = 248,438.77

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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.