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Finding the Fourth Proportional to 256,510.60, 384,765.90 and 138,412.60

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Solution

The fourth proportional to 256,510.60, 384,765.90 and 138,412.60 is: 207,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,510.60 : 384,765.90 = 138,412.60 : x
  2. Step 2: Convert to fraction form
    256,510.60/384,765.90 = 138,412.60/x
  3. Step 3: Cross multiply
    256,510.60x = 384,765.90 × 138,412.60
  4. Step 4: Simplify right side
    256,510.60x = 53,256,448,610.34
  5. Step 5: Solve for x
    x = 53,256,448,610.34/256,510.60
  6. Step 6: Final answer
    x = 207,618.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.