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Finding the Fourth Proportional to 275,318.10, 412,879.95 and 97,830.90

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Solution

The fourth proportional to 275,318.10, 412,879.95 and 97,830.90 is: 146,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,318.10 : 412,879.95 = 97,830.90 : x
  2. Step 2: Convert to fraction form
    275,318.10/412,879.95 = 97,830.90/x
  3. Step 3: Cross multiply
    275,318.10x = 412,879.95 × 97,830.90
  4. Step 4: Simplify right side
    275,318.10x = 40,392,417,100.46
  5. Step 5: Solve for x
    x = 40,392,417,100.46/275,318.10
  6. Step 6: Final answer
    x = 146,711.81

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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.