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Finding the Fourth Proportional to 313,695.64, 432,899.10 and 170,456.20

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Solution

The fourth proportional to 313,695.64, 432,899.10 and 170,456.20 is: 235,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,695.64 : 432,899.10 = 170,456.20 : x
  2. Step 2: Convert to fraction form
    313,695.64/432,899.10 = 170,456.20/x
  3. Step 3: Cross multiply
    313,695.64x = 432,899.10 × 170,456.20
  4. Step 4: Simplify right side
    313,695.64x = 73,790,335,569.42
  5. Step 5: Solve for x
    x = 73,790,335,569.42/313,695.64
  6. Step 6: Final answer
    x = 235,229.08

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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.