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Finding the Fourth Proportional to 861,581.76, 1,292,379.04 and 321,960

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Solution

The fourth proportional to 861,581.76, 1,292,379.04 and 321,960 is: 482,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,581.76 : 1,292,379.04 = 321,960 : x
  2. Step 2: Convert to fraction form
    861,581.76/1,292,379.04 = 321,960/x
  3. Step 3: Cross multiply
    861,581.76x = 1,292,379.04 × 321,960
  4. Step 4: Simplify right side
    861,581.76x = 416,094,355,718.40
  5. Step 5: Solve for x
    x = 416,094,355,718.40/861,581.76
  6. Step 6: Final answer
    x = 482,942.39

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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.