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Finding the Fourth Proportional to 418,169.80, 627,312.30 and 181,505.80

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Solution

The fourth proportional to 418,169.80, 627,312.30 and 181,505.80 is: 272,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,169.80 : 627,312.30 = 181,505.80 : x
  2. Step 2: Convert to fraction form
    418,169.80/627,312.30 = 181,505.80/x
  3. Step 3: Cross multiply
    418,169.80x = 627,312.30 × 181,505.80
  4. Step 4: Simplify right side
    418,169.80x = 113,860,820,861.34
  5. Step 5: Solve for x
    x = 113,860,820,861.34/418,169.80
  6. Step 6: Final answer
    x = 272,283.70

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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.