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Finding the Fourth Proportional to 256,422.36, 353,790.80 and 147,521

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Solution

The fourth proportional to 256,422.36, 353,790.80 and 147,521 is: 203,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,422.36 : 353,790.80 = 147,521 : x
  2. Step 2: Convert to fraction form
    256,422.36/353,790.80 = 147,521/x
  3. Step 3: Cross multiply
    256,422.36x = 353,790.80 × 147,521
  4. Step 4: Simplify right side
    256,422.36x = 52,191,572,606.80
  5. Step 5: Solve for x
    x = 52,191,572,606.80/256,422.36
  6. Step 6: Final answer
    x = 203,537.53

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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.