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Finding the Fourth Proportional to 278,152.73, 417,119.90 and 98,199.74

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Solution

The fourth proportional to 278,152.73, 417,119.90 and 98,199.74 is: 147,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,152.73 : 417,119.90 = 98,199.74 : x
  2. Step 2: Convert to fraction form
    278,152.73/417,119.90 = 98,199.74/x
  3. Step 3: Cross multiply
    278,152.73x = 417,119.90 × 98,199.74
  4. Step 4: Simplify right side
    278,152.73x = 40,961,067,017.13
  5. Step 5: Solve for x
    x = 40,961,067,017.13/278,152.73
  6. Step 6: Final answer
    x = 147,261.07

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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.