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Finding the Fourth Proportional to 391,328.48, 587,082.36 and 142,010.48

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Solution

The fourth proportional to 391,328.48, 587,082.36 and 142,010.48 is: 213,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,328.48 : 587,082.36 = 142,010.48 : x
  2. Step 2: Convert to fraction form
    391,328.48/587,082.36 = 142,010.48/x
  3. Step 3: Cross multiply
    391,328.48x = 587,082.36 × 142,010.48
  4. Step 4: Simplify right side
    391,328.48x = 83,371,847,743.13
  5. Step 5: Solve for x
    x = 83,371,847,743.13/391,328.48
  6. Step 6: Final answer
    x = 213,048.25

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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.