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Finding the Fourth Proportional to 427,715.10, 641,572.65 and 112,203.90

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Solution

The fourth proportional to 427,715.10, 641,572.65 and 112,203.90 is: 168,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,715.10 : 641,572.65 = 112,203.90 : x
  2. Step 2: Convert to fraction form
    427,715.10/641,572.65 = 112,203.90/x
  3. Step 3: Cross multiply
    427,715.10x = 641,572.65 × 112,203.90
  4. Step 4: Simplify right side
    427,715.10x = 71,986,953,463.34
  5. Step 5: Solve for x
    x = 71,986,953,463.34/427,715.10
  6. Step 6: Final answer
    x = 168,305.85

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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.