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Finding the Fourth Proportional to 418,732.97, 627,719.34 and 152,305.13

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Solution

The fourth proportional to 418,732.97, 627,719.34 and 152,305.13 is: 228,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,732.97 : 627,719.34 = 152,305.13 : x
  2. Step 2: Convert to fraction form
    418,732.97/627,719.34 = 152,305.13/x
  3. Step 3: Cross multiply
    418,732.97x = 627,719.34 × 152,305.13
  4. Step 4: Simplify right side
    418,732.97x = 95,604,875,682.21
  5. Step 5: Solve for x
    x = 95,604,875,682.21/418,732.97
  6. Step 6: Final answer
    x = 228,319.44

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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.