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Finding the Fourth Proportional to 256,702.84, 354,107.72 and 149,261

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Solution

The fourth proportional to 256,702.84, 354,107.72 and 149,261 is: 205,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,702.84 : 354,107.72 = 149,261 : x
  2. Step 2: Convert to fraction form
    256,702.84/354,107.72 = 149,261/x
  3. Step 3: Cross multiply
    256,702.84x = 354,107.72 × 149,261
  4. Step 4: Simplify right side
    256,702.84x = 52,854,472,394.92
  5. Step 5: Solve for x
    x = 52,854,472,394.92/256,702.84
  6. Step 6: Final answer
    x = 205,897.50

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1.5x scale

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.