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Finding the Fourth Proportional to 498,708.42, 747,720.90 and 178,853.45

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Solution

The fourth proportional to 498,708.42, 747,720.90 and 178,853.45 is: 268,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,708.42 : 747,720.90 = 178,853.45 : x
  2. Step 2: Convert to fraction form
    498,708.42/747,720.90 = 178,853.45/x
  3. Step 3: Cross multiply
    498,708.42x = 747,720.90 × 178,853.45
  4. Step 4: Simplify right side
    498,708.42x = 133,732,458,863.50
  5. Step 5: Solve for x
    x = 133,732,458,863.50/498,708.42
  6. Step 6: Final answer
    x = 268,157.61

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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.