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Finding the Fourth Proportional to 299,861.60, 413,809.36 and 172,562.00

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Solution

The fourth proportional to 299,861.60, 413,809.36 and 172,562.00 is: 238,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,861.60 : 413,809.36 = 172,562.00 : x
  2. Step 2: Convert to fraction form
    299,861.60/413,809.36 = 172,562.00/x
  3. Step 3: Cross multiply
    299,861.60x = 413,809.36 × 172,562.00
  4. Step 4: Simplify right side
    299,861.60x = 71,407,768,279.87
  5. Step 5: Solve for x
    x = 71,407,768,279.87/299,861.60
  6. Step 6: Final answer
    x = 238,135.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.