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Finding the Fourth Proportional to 256,967.64, 354,590.40 and 149,551.92

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Solution

The fourth proportional to 256,967.64, 354,590.40 and 149,551.92 is: 206,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,967.64 : 354,590.40 = 149,551.92 : x
  2. Step 2: Convert to fraction form
    256,967.64/354,590.40 = 149,551.92/x
  3. Step 3: Cross multiply
    256,967.64x = 354,590.40 × 149,551.92
  4. Step 4: Simplify right side
    256,967.64x = 53,029,675,133.57
  5. Step 5: Solve for x
    x = 53,029,675,133.57/256,967.64
  6. Step 6: Final answer
    x = 206,367.13

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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.