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Finding the Fourth Proportional to 278,239.59, 417,392.81 and 98,288.07

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Solution

The fourth proportional to 278,239.59, 417,392.81 and 98,288.07 is: 147,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,239.59 : 417,392.81 = 98,288.07 : x
  2. Step 2: Convert to fraction form
    278,239.59/417,392.81 = 98,288.07/x
  3. Step 3: Cross multiply
    278,239.59x = 417,392.81 × 98,288.07
  4. Step 4: Simplify right side
    278,239.59x = 41,024,733,726.78
  5. Step 5: Solve for x
    x = 41,024,733,726.78/278,239.59
  6. Step 6: Final answer
    x = 147,443.91

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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.