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Finding the Fourth Proportional to 456,124.80, 683,957.70 and 140,540.70

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Solution

The fourth proportional to 456,124.80, 683,957.70 and 140,540.70 is: 210,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,124.80 : 683,957.70 = 140,540.70 : x
  2. Step 2: Convert to fraction form
    456,124.80/683,957.70 = 140,540.70/x
  3. Step 3: Cross multiply
    456,124.80x = 683,957.70 × 140,540.70
  4. Step 4: Simplify right side
    456,124.80x = 96,123,893,928.39
  5. Step 5: Solve for x
    x = 96,123,893,928.39/456,124.80
  6. Step 6: Final answer
    x = 210,740.34

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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.