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Finding the Fourth Proportional to 398,757.72, 597,961.60 and 149,264.76

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Solution

The fourth proportional to 398,757.72, 597,961.60 and 149,264.76 is: 223,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,757.72 : 597,961.60 = 149,264.76 : x
  2. Step 2: Convert to fraction form
    398,757.72/597,961.60 = 149,264.76/x
  3. Step 3: Cross multiply
    398,757.72x = 597,961.60 × 149,264.76
  4. Step 4: Simplify right side
    398,757.72x = 89,254,594,713.22
  5. Step 5: Solve for x
    x = 89,254,594,713.22/398,757.72
  6. Step 6: Final answer
    x = 223,831.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.