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Finding the Fourth Proportional to 256,945.59, 354,498.80 and 149,492.61

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Solution

The fourth proportional to 256,945.59, 354,498.80 and 149,492.61 is: 206,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,945.59 : 354,498.80 = 149,492.61 : x
  2. Step 2: Convert to fraction form
    256,945.59/354,498.80 = 149,492.61/x
  3. Step 3: Cross multiply
    256,945.59x = 354,498.80 × 149,492.61
  4. Step 4: Simplify right side
    256,945.59x = 52,994,950,106.40
  5. Step 5: Solve for x
    x = 52,994,950,106.40/256,945.59
  6. Step 6: Final answer
    x = 206,249.70

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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.