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Finding the Fourth Proportional to 391,411.22, 540,147.48 and 221,678.15

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Solution

The fourth proportional to 391,411.22, 540,147.48 and 221,678.15 is: 305,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,411.22 : 540,147.48 = 221,678.15 : x
  2. Step 2: Convert to fraction form
    391,411.22/540,147.48 = 221,678.15/x
  3. Step 3: Cross multiply
    391,411.22x = 540,147.48 × 221,678.15
  4. Step 4: Simplify right side
    391,411.22x = 119,738,891,392.83
  5. Step 5: Solve for x
    x = 119,738,891,392.83/391,411.22
  6. Step 6: Final answer
    x = 305,915.84

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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.