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Finding the Fourth Proportional to 278,720.64, 418,618.80 and 238,829.76

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Solution

The fourth proportional to 278,720.64, 418,618.80 and 238,829.76 is: 358,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,720.64 : 418,618.80 = 238,829.76 : x
  2. Step 2: Convert to fraction form
    278,720.64/418,618.80 = 238,829.76/x
  3. Step 3: Cross multiply
    278,720.64x = 418,618.80 × 238,829.76
  4. Step 4: Simplify right side
    278,720.64x = 99,978,627,535.49
  5. Step 5: Solve for x
    x = 99,978,627,535.49/278,720.64
  6. Step 6: Final answer
    x = 358,705.50

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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.