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Finding the Fourth Proportional to 256,588.68, 354,104.72 and 141,865.20

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Solution

The fourth proportional to 256,588.68, 354,104.72 and 141,865.20 is: 195,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,588.68 : 354,104.72 = 141,865.20 : x
  2. Step 2: Convert to fraction form
    256,588.68/354,104.72 = 141,865.20/x
  3. Step 3: Cross multiply
    256,588.68x = 354,104.72 × 141,865.20
  4. Step 4: Simplify right side
    256,588.68x = 50,235,136,923.74
  5. Step 5: Solve for x
    x = 50,235,136,923.74/256,588.68
  6. Step 6: Final answer
    x = 195,780.80

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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.