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Finding the Fourth Proportional to 418,624.80, 627,937.20 and 208,672.80

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Solution

The fourth proportional to 418,624.80, 627,937.20 and 208,672.80 is: 313,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,624.80 : 627,937.20 = 208,672.80 : x
  2. Step 2: Convert to fraction form
    418,624.80/627,937.20 = 208,672.80/x
  3. Step 3: Cross multiply
    418,624.80x = 627,937.20 × 208,672.80
  4. Step 4: Simplify right side
    418,624.80x = 131,033,413,748.16
  5. Step 5: Solve for x
    x = 131,033,413,748.16/418,624.80
  6. Step 6: Final answer
    x = 313,009.20

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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.