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Finding the Fourth Proportional to 832,643, 1,148,765.40 and 542,121.92

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Solution

The fourth proportional to 832,643, 1,148,765.40 and 542,121.92 is: 747,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,643 : 1,148,765.40 = 542,121.92 : x
  2. Step 2: Convert to fraction form
    832,643/1,148,765.40 = 542,121.92/x
  3. Step 3: Cross multiply
    832,643x = 1,148,765.40 × 542,121.92
  4. Step 4: Simplify right side
    832,643x = 622,770,904,277.57
  5. Step 5: Solve for x
    x = 622,770,904,277.57/832,643
  6. Step 6: Final answer
    x = 747,944.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.