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Finding the Fourth Proportional to 256,689.84, 354,089.80 and 149,248

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Solution

The fourth proportional to 256,689.84, 354,089.80 and 149,248 is: 205,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,689.84 : 354,089.80 = 149,248 : x
  2. Step 2: Convert to fraction form
    256,689.84/354,089.80 = 149,248/x
  3. Step 3: Cross multiply
    256,689.84x = 354,089.80 × 149,248
  4. Step 4: Simplify right side
    256,689.84x = 52,847,194,470.40
  5. Step 5: Solve for x
    x = 52,847,194,470.40/256,689.84
  6. Step 6: Final answer
    x = 205,879.57

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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.