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Finding the Fourth Proportional to 508,257.10, 762,456.12 and 171,394.30

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Solution

The fourth proportional to 508,257.10, 762,456.12 and 171,394.30 is: 257,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,257.10 : 762,456.12 = 171,394.30 : x
  2. Step 2: Convert to fraction form
    508,257.10/762,456.12 = 171,394.30/x
  3. Step 3: Cross multiply
    508,257.10x = 762,456.12 × 171,394.30
  4. Step 4: Simplify right side
    508,257.10x = 130,680,632,968.12
  5. Step 5: Solve for x
    x = 130,680,632,968.12/508,257.10
  6. Step 6: Final answer
    x = 257,115.21

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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.