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Finding the Fourth Proportional to 418,256.88, 627,387.44 and 102,713.91

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Solution

The fourth proportional to 418,256.88, 627,387.44 and 102,713.91 is: 154,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,256.88 : 627,387.44 = 102,713.91 : x
  2. Step 2: Convert to fraction form
    418,256.88/627,387.44 = 102,713.91/x
  3. Step 3: Cross multiply
    418,256.88x = 627,387.44 × 102,713.91
  4. Step 4: Simplify right side
    418,256.88x = 64,441,417,047.29
  5. Step 5: Solve for x
    x = 64,441,417,047.29/418,256.88
  6. Step 6: Final answer
    x = 154,071.39

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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.