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Finding the Fourth Proportional to 306,542.60, 459,816.47 and 106,862.61

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Solution

The fourth proportional to 306,542.60, 459,816.47 and 106,862.61 is: 160,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,542.60 : 459,816.47 = 106,862.61 : x
  2. Step 2: Convert to fraction form
    306,542.60/459,816.47 = 106,862.61/x
  3. Step 3: Cross multiply
    306,542.60x = 459,816.47 × 106,862.61
  4. Step 4: Simplify right side
    306,542.60x = 49,137,187,570.87
  5. Step 5: Solve for x
    x = 49,137,187,570.87/306,542.60
  6. Step 6: Final answer
    x = 160,294.81

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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.