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Finding the Fourth Proportional to 278,238.59, 417,391.31 and 98,287.07

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Solution

The fourth proportional to 278,238.59, 417,391.31 and 98,287.07 is: 147,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,238.59 : 417,391.31 = 98,287.07 : x
  2. Step 2: Convert to fraction form
    278,238.59/417,391.31 = 98,287.07/x
  3. Step 3: Cross multiply
    278,238.59x = 417,391.31 × 98,287.07
  4. Step 4: Simplify right side
    278,238.59x = 41,024,167,062.12
  5. Step 5: Solve for x
    x = 41,024,167,062.12/278,238.59
  6. Step 6: Final answer
    x = 147,442.40

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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.