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Finding the Fourth Proportional to 487,511.80, 730,922.10 and 187,876.60

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Solution

The fourth proportional to 487,511.80, 730,922.10 and 187,876.60 is: 281,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,511.80 : 730,922.10 = 187,876.60 : x
  2. Step 2: Convert to fraction form
    487,511.80/730,922.10 = 187,876.60/x
  3. Step 3: Cross multiply
    487,511.80x = 730,922.10 × 187,876.60
  4. Step 4: Simplify right side
    487,511.80x = 137,323,159,012.86
  5. Step 5: Solve for x
    x = 137,323,159,012.86/487,511.80
  6. Step 6: Final answer
    x = 281,681.71

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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.