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Finding the Fourth Proportional to 256,532.32, 354,009.40 and 141,815.80

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Solution

The fourth proportional to 256,532.32, 354,009.40 and 141,815.80 is: 195,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,532.32 : 354,009.40 = 141,815.80 : x
  2. Step 2: Convert to fraction form
    256,532.32/354,009.40 = 141,815.80/x
  3. Step 3: Cross multiply
    256,532.32x = 354,009.40 × 141,815.80
  4. Step 4: Simplify right side
    256,532.32x = 50,204,126,268.52
  5. Step 5: Solve for x
    x = 50,204,126,268.52/256,532.32
  6. Step 6: Final answer
    x = 195,702.93

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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.