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Finding the Fourth Proportional to 271,456.32, 407,180.16 and 84,478.08

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Solution

The fourth proportional to 271,456.32, 407,180.16 and 84,478.08 is: 126,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,456.32 : 407,180.16 = 84,478.08 : x
  2. Step 2: Convert to fraction form
    271,456.32/407,180.16 = 84,478.08/x
  3. Step 3: Cross multiply
    271,456.32x = 407,180.16 × 84,478.08
  4. Step 4: Simplify right side
    271,456.32x = 34,397,798,130.89
  5. Step 5: Solve for x
    x = 34,397,798,130.89/271,456.32
  6. Step 6: Final answer
    x = 126,715.78

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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.