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Finding the Fourth Proportional to 413,287.86, 570,313.49 and 231,982.90

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Solution

The fourth proportional to 413,287.86, 570,313.49 and 231,982.90 is: 320,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,287.86 : 570,313.49 = 231,982.90 : x
  2. Step 2: Convert to fraction form
    413,287.86/570,313.49 = 231,982.90/x
  3. Step 3: Cross multiply
    413,287.86x = 570,313.49 × 231,982.90
  4. Step 4: Simplify right side
    413,287.86x = 132,302,977,319.32
  5. Step 5: Solve for x
    x = 132,302,977,319.32/413,287.86
  6. Step 6: Final answer
    x = 320,123.07

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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.