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Finding the Fourth Proportional to 391,537.08, 587,271.06 and 142,221.24

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Solution

The fourth proportional to 391,537.08, 587,271.06 and 142,221.24 is: 213,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,537.08 : 587,271.06 = 142,221.24 : x
  2. Step 2: Convert to fraction form
    391,537.08/587,271.06 = 142,221.24/x
  3. Step 3: Cross multiply
    391,537.08x = 587,271.06 × 142,221.24
  4. Step 4: Simplify right side
    391,537.08x = 83,522,418,369.31
  5. Step 5: Solve for x
    x = 83,522,418,369.31/391,537.08
  6. Step 6: Final answer
    x = 213,319.31

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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.