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Finding the Fourth Proportional to 402,854.70, 603,553.05 and 192,027.90

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Solution

The fourth proportional to 402,854.70, 603,553.05 and 192,027.90 is: 287,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,854.70 : 603,553.05 = 192,027.90 : x
  2. Step 2: Convert to fraction form
    402,854.70/603,553.05 = 192,027.90/x
  3. Step 3: Cross multiply
    402,854.70x = 603,553.05 × 192,027.90
  4. Step 4: Simplify right side
    402,854.70x = 115,899,024,730.10
  5. Step 5: Solve for x
    x = 115,899,024,730.10/402,854.70
  6. Step 6: Final answer
    x = 287,694.36

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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.