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Finding the Fourth Proportional to 418,423.52, 627,154.14 and 193,311.06

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Solution

The fourth proportional to 418,423.52, 627,154.14 and 193,311.06 is: 289,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,423.52 : 627,154.14 = 193,311.06 : x
  2. Step 2: Convert to fraction form
    418,423.52/627,154.14 = 193,311.06/x
  3. Step 3: Cross multiply
    418,423.52x = 627,154.14 × 193,311.06
  4. Step 4: Simplify right side
    418,423.52x = 121,235,829,959.88
  5. Step 5: Solve for x
    x = 121,235,829,959.88/418,423.52
  6. Step 6: Final answer
    x = 289,744.30

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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.