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Finding the Fourth Proportional to 391,973.58, 587,958.21 and 142,655.58

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Solution

The fourth proportional to 391,973.58, 587,958.21 and 142,655.58 is: 213,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,973.58 : 587,958.21 = 142,655.58 : x
  2. Step 2: Convert to fraction form
    391,973.58/587,958.21 = 142,655.58/x
  3. Step 3: Cross multiply
    391,973.58x = 587,958.21 × 142,655.58
  4. Step 4: Simplify right side
    391,973.58x = 83,875,519,463.31
  5. Step 5: Solve for x
    x = 83,875,519,463.31/391,973.58
  6. Step 6: Final answer
    x = 213,982.58

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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.