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Finding the Fourth Proportional to 398,545.56, 597,756.71 and 145,766.94

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Solution

The fourth proportional to 398,545.56, 597,756.71 and 145,766.94 is: 218,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,545.56 : 597,756.71 = 145,766.94 : x
  2. Step 2: Convert to fraction form
    398,545.56/597,756.71 = 145,766.94/x
  3. Step 3: Cross multiply
    398,545.56x = 597,756.71 × 145,766.94
  4. Step 4: Simplify right side
    398,545.56x = 87,133,165,733.97
  5. Step 5: Solve for x
    x = 87,133,165,733.97/398,545.56
  6. Step 6: Final answer
    x = 218,627.87

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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.