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Finding the Fourth Proportional to 278,283.29, 417,492.86 and 88,743.65

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Solution

The fourth proportional to 278,283.29, 417,492.86 and 88,743.65 is: 133,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,283.29 : 417,492.86 = 88,743.65 : x
  2. Step 2: Convert to fraction form
    278,283.29/417,492.86 = 88,743.65/x
  3. Step 3: Cross multiply
    278,283.29x = 417,492.86 × 88,743.65
  4. Step 4: Simplify right side
    278,283.29x = 37,049,841,510.93
  5. Step 5: Solve for x
    x = 37,049,841,510.93/278,283.29
  6. Step 6: Final answer
    x = 133,137.14

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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.