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Finding the Fourth Proportional to 256,685.40, 354,207.86 and 149,247.82

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Solution

The fourth proportional to 256,685.40, 354,207.86 and 149,247.82 is: 205,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,685.40 : 354,207.86 = 149,247.82 : x
  2. Step 2: Convert to fraction form
    256,685.40/354,207.86 = 149,247.82/x
  3. Step 3: Cross multiply
    256,685.40x = 354,207.86 × 149,247.82
  4. Step 4: Simplify right side
    256,685.40x = 52,864,750,931.87
  5. Step 5: Solve for x
    x = 52,864,750,931.87/256,685.40
  6. Step 6: Final answer
    x = 205,951.53

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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.