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Finding the Fourth Proportional to 256,443.31, 353,873.24 and 141,720.58

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Solution

The fourth proportional to 256,443.31, 353,873.24 and 141,720.58 is: 195,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,443.31 : 353,873.24 = 141,720.58 : x
  2. Step 2: Convert to fraction form
    256,443.31/353,873.24 = 141,720.58/x
  3. Step 3: Cross multiply
    256,443.31x = 353,873.24 × 141,720.58
  4. Step 4: Simplify right side
    256,443.31x = 50,151,120,110.68
  5. Step 5: Solve for x
    x = 50,151,120,110.68/256,443.31
  6. Step 6: Final answer
    x = 195,564.16

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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.