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Finding the Fourth Proportional to 275,934.60, 413,901.90 and 142,855.65

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Solution

The fourth proportional to 275,934.60, 413,901.90 and 142,855.65 is: 214,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,934.60 : 413,901.90 = 142,855.65 : x
  2. Step 2: Convert to fraction form
    275,934.60/413,901.90 = 142,855.65/x
  3. Step 3: Cross multiply
    275,934.60x = 413,901.90 × 142,855.65
  4. Step 4: Simplify right side
    275,934.60x = 59,128,224,960.74
  5. Step 5: Solve for x
    x = 59,128,224,960.74/275,934.60
  6. Step 6: Final answer
    x = 214,283.48

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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.