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Finding the Fourth Proportional to 278,746.74, 418,170.51 and 101,502.54

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Solution

The fourth proportional to 278,746.74, 418,170.51 and 101,502.54 is: 152,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,746.74 : 418,170.51 = 101,502.54 : x
  2. Step 2: Convert to fraction form
    278,746.74/418,170.51 = 101,502.54/x
  3. Step 3: Cross multiply
    278,746.74x = 418,170.51 × 101,502.54
  4. Step 4: Simplify right side
    278,746.74x = 42,445,368,918.10
  5. Step 5: Solve for x
    x = 42,445,368,918.10/278,746.74
  6. Step 6: Final answer
    x = 152,272.16

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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.