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Finding the Fourth Proportional to 391,762, 587,809.28 and 214,061.42

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Solution

The fourth proportional to 391,762, 587,809.28 and 214,061.42 is: 321,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,762 : 587,809.28 = 214,061.42 : x
  2. Step 2: Convert to fraction form
    391,762/587,809.28 = 214,061.42/x
  3. Step 3: Cross multiply
    391,762x = 587,809.28 × 214,061.42
  4. Step 4: Simplify right side
    391,762x = 125,827,289,165.98
  5. Step 5: Solve for x
    x = 125,827,289,165.98/391,762
  6. Step 6: Final answer
    x = 321,182.99

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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.