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Finding the Fourth Proportional to 256,326.87, 353,741.20 and 147,431.03

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Solution

The fourth proportional to 256,326.87, 353,741.20 and 147,431.03 is: 203,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,326.87 : 353,741.20 = 147,431.03 : x
  2. Step 2: Convert to fraction form
    256,326.87/353,741.20 = 147,431.03/x
  3. Step 3: Cross multiply
    256,326.87x = 353,741.20 × 147,431.03
  4. Step 4: Simplify right side
    256,326.87x = 52,152,428,732.28
  5. Step 5: Solve for x
    x = 52,152,428,732.28/256,326.87
  6. Step 6: Final answer
    x = 203,460.64

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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.