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Finding the Fourth Proportional to 391,539.18, 540,195.57 and 219,432

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Solution

The fourth proportional to 391,539.18, 540,195.57 and 219,432 is: 302,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,539.18 : 540,195.57 = 219,432 : x
  2. Step 2: Convert to fraction form
    391,539.18/540,195.57 = 219,432/x
  3. Step 3: Cross multiply
    391,539.18x = 540,195.57 × 219,432
  4. Step 4: Simplify right side
    391,539.18x = 118,536,194,316.24
  5. Step 5: Solve for x
    x = 118,536,194,316.24/391,539.18
  6. Step 6: Final answer
    x = 302,744.15

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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.