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Finding the Fourth Proportional to 418,444.89, 627,631.70 and 165,656.63

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Solution

The fourth proportional to 418,444.89, 627,631.70 and 165,656.63 is: 248,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,444.89 : 627,631.70 = 165,656.63 : x
  2. Step 2: Convert to fraction form
    418,444.89/627,631.70 = 165,656.63/x
  3. Step 3: Cross multiply
    418,444.89x = 627,631.70 × 165,656.63
  4. Step 4: Simplify right side
    418,444.89x = 103,971,348,336.73
  5. Step 5: Solve for x
    x = 103,971,348,336.73/418,444.89
  6. Step 6: Final answer
    x = 248,470.83

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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.