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Finding the Fourth Proportional to 418,255.14, 627,384.82 and 102,712.16

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Solution

The fourth proportional to 418,255.14, 627,384.82 and 102,712.16 is: 154,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,255.14 : 627,384.82 = 102,712.16 : x
  2. Step 2: Convert to fraction form
    418,255.14/627,384.82 = 102,712.16/x
  3. Step 3: Cross multiply
    418,255.14x = 627,384.82 × 102,712.16
  4. Step 4: Simplify right side
    418,255.14x = 64,440,050,013.41
  5. Step 5: Solve for x
    x = 64,440,050,013.41/418,255.14
  6. Step 6: Final answer
    x = 154,068.76

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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.