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Finding the Fourth Proportional to 278,543.82, 417,557.72 and 101,003.16

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Solution

The fourth proportional to 278,543.82, 417,557.72 and 101,003.16 is: 151,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,543.82 : 417,557.72 = 101,003.16 : x
  2. Step 2: Convert to fraction form
    278,543.82/417,557.72 = 101,003.16/x
  3. Step 3: Cross multiply
    278,543.82x = 417,557.72 × 101,003.16
  4. Step 4: Simplify right side
    278,543.82x = 42,174,649,202.40
  5. Step 5: Solve for x
    x = 42,174,649,202.40/278,543.82
  6. Step 6: Final answer
    x = 151,411.18

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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.