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Finding the Fourth Proportional to 408,543.15, 612,913.17 and 128,060.40

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Solution

The fourth proportional to 408,543.15, 612,913.17 and 128,060.40 is: 192,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,543.15 : 612,913.17 = 128,060.40 : x
  2. Step 2: Convert to fraction form
    408,543.15/612,913.17 = 128,060.40/x
  3. Step 3: Cross multiply
    408,543.15x = 612,913.17 × 128,060.40
  4. Step 4: Simplify right side
    408,543.15x = 78,489,905,715.47
  5. Step 5: Solve for x
    x = 78,489,905,715.47/408,543.15
  6. Step 6: Final answer
    x = 192,121.46

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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.