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Finding the Fourth Proportional to 278,260.86, 417,424.56 and 98,309.02

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Solution

The fourth proportional to 278,260.86, 417,424.56 and 98,309.02 is: 147,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,260.86 : 417,424.56 = 98,309.02 : x
  2. Step 2: Convert to fraction form
    278,260.86/417,424.56 = 98,309.02/x
  3. Step 3: Cross multiply
    278,260.86x = 417,424.56 × 98,309.02
  4. Step 4: Simplify right side
    278,260.86x = 41,036,599,417.53
  5. Step 5: Solve for x
    x = 41,036,599,417.53/278,260.86
  6. Step 6: Final answer
    x = 147,475.28

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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.