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Finding the Fourth Proportional to 391,847.49, 540,714.96 and 217,422.09

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Solution

The fourth proportional to 391,847.49, 540,714.96 and 217,422.09 is: 300,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,847.49 : 540,714.96 = 217,422.09 : x
  2. Step 2: Convert to fraction form
    391,847.49/540,714.96 = 217,422.09/x
  3. Step 3: Cross multiply
    391,847.49x = 540,714.96 × 217,422.09
  4. Step 4: Simplify right side
    391,847.49x = 117,563,376,697.47
  5. Step 5: Solve for x
    x = 117,563,376,697.47/391,847.49
  6. Step 6: Final answer
    x = 300,023.30

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1.5x scale

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.