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Finding the Fourth Proportional to 398,737.56, 550,242.40 and 226,678.08

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Solution

The fourth proportional to 398,737.56, 550,242.40 and 226,678.08 is: 312,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,737.56 : 550,242.40 = 226,678.08 : x
  2. Step 2: Convert to fraction form
    398,737.56/550,242.40 = 226,678.08/x
  3. Step 3: Cross multiply
    398,737.56x = 550,242.40 × 226,678.08
  4. Step 4: Simplify right side
    398,737.56x = 124,727,890,766.59
  5. Step 5: Solve for x
    x = 124,727,890,766.59/398,737.56
  6. Step 6: Final answer
    x = 312,806.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.