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Finding the Fourth Proportional to 278,077.80, 417,203.10 and 109,619.40

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Solution

The fourth proportional to 278,077.80, 417,203.10 and 109,619.40 is: 164,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,077.80 : 417,203.10 = 109,619.40 : x
  2. Step 2: Convert to fraction form
    278,077.80/417,203.10 = 109,619.40/x
  3. Step 3: Cross multiply
    278,077.80x = 417,203.10 × 109,619.40
  4. Step 4: Simplify right side
    278,077.80x = 45,733,553,500.14
  5. Step 5: Solve for x
    x = 45,733,553,500.14/278,077.80
  6. Step 6: Final answer
    x = 164,463.16

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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.