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Finding the Fourth Proportional to 278,952.64, 418,425.30 and 68,592.40

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Solution

The fourth proportional to 278,952.64, 418,425.30 and 68,592.40 is: 102,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,952.64 : 418,425.30 = 68,592.40 : x
  2. Step 2: Convert to fraction form
    278,952.64/418,425.30 = 68,592.40/x
  3. Step 3: Cross multiply
    278,952.64x = 418,425.30 × 68,592.40
  4. Step 4: Simplify right side
    278,952.64x = 28,700,795,547.72
  5. Step 5: Solve for x
    x = 28,700,795,547.72/278,952.64
  6. Step 6: Final answer
    x = 102,887.70

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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.