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Finding the Fourth Proportional to 437,595.80, 656,393.70 and 142,107.80

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Solution

The fourth proportional to 437,595.80, 656,393.70 and 142,107.80 is: 213,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,595.80 : 656,393.70 = 142,107.80 : x
  2. Step 2: Convert to fraction form
    437,595.80/656,393.70 = 142,107.80/x
  3. Step 3: Cross multiply
    437,595.80x = 656,393.70 × 142,107.80
  4. Step 4: Simplify right side
    437,595.80x = 93,278,664,640.86
  5. Step 5: Solve for x
    x = 93,278,664,640.86/437,595.80
  6. Step 6: Final answer
    x = 213,161.70

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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.