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Finding the Fourth Proportional to 256,055.96, 353,304.48 and 147,139.24

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Solution

The fourth proportional to 256,055.96, 353,304.48 and 147,139.24 is: 203,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,055.96 : 353,304.48 = 147,139.24 : x
  2. Step 2: Convert to fraction form
    256,055.96/353,304.48 = 147,139.24/x
  3. Step 3: Cross multiply
    256,055.96x = 353,304.48 × 147,139.24
  4. Step 4: Simplify right side
    256,055.96x = 51,984,952,675.80
  5. Step 5: Solve for x
    x = 51,984,952,675.80/256,055.96
  6. Step 6: Final answer
    x = 203,021.84

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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.