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Finding the Fourth Proportional to 428,769.60, 591,607.38 and 247,443

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Solution

The fourth proportional to 428,769.60, 591,607.38 and 247,443 is: 341,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,769.60 : 591,607.38 = 247,443 : x
  2. Step 2: Convert to fraction form
    428,769.60/591,607.38 = 247,443/x
  3. Step 3: Cross multiply
    428,769.60x = 591,607.38 × 247,443
  4. Step 4: Simplify right side
    428,769.60x = 146,389,104,929.34
  5. Step 5: Solve for x
    x = 146,389,104,929.34/428,769.60
  6. Step 6: Final answer
    x = 341,416.71

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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.