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Finding the Fourth Proportional to 278,764.80, 384,728.40 and 165,588

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Solution

The fourth proportional to 278,764.80, 384,728.40 and 165,588 is: 228,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,764.80 : 384,728.40 = 165,588 : x
  2. Step 2: Convert to fraction form
    278,764.80/384,728.40 = 165,588/x
  3. Step 3: Cross multiply
    278,764.80x = 384,728.40 × 165,588
  4. Step 4: Simplify right side
    278,764.80x = 63,706,406,299.20
  5. Step 5: Solve for x
    x = 63,706,406,299.20/278,764.80
  6. Step 6: Final answer
    x = 228,531.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.