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Finding the Fourth Proportional to 428,792.10, 591,769.44 and 237,867

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Solution

The fourth proportional to 428,792.10, 591,769.44 and 237,867 is: 328,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,792.10 : 591,769.44 = 237,867 : x
  2. Step 2: Convert to fraction form
    428,792.10/591,769.44 = 237,867/x
  3. Step 3: Cross multiply
    428,792.10x = 591,769.44 × 237,867
  4. Step 4: Simplify right side
    428,792.10x = 140,762,421,384.48
  5. Step 5: Solve for x
    x = 140,762,421,384.48/428,792.10
  6. Step 6: Final answer
    x = 328,276.62

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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.