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Finding the Fourth Proportional to 278,543.15, 417,842.41 and 101,064

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Solution

The fourth proportional to 278,543.15, 417,842.41 and 101,064 is: 151,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,543.15 : 417,842.41 = 101,064 : x
  2. Step 2: Convert to fraction form
    278,543.15/417,842.41 = 101,064/x
  3. Step 3: Cross multiply
    278,543.15x = 417,842.41 × 101,064
  4. Step 4: Simplify right side
    278,543.15x = 42,228,825,324.24
  5. Step 5: Solve for x
    x = 42,228,825,324.24/278,543.15
  6. Step 6: Final answer
    x = 151,606.04

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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.