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Finding the Fourth Proportional to 317,009.57, 475,531.02 and 80,354.30

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Solution

The fourth proportional to 317,009.57, 475,531.02 and 80,354.30 is: 120,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,009.57 : 475,531.02 = 80,354.30 : x
  2. Step 2: Convert to fraction form
    317,009.57/475,531.02 = 80,354.30/x
  3. Step 3: Cross multiply
    317,009.57x = 475,531.02 × 80,354.30
  4. Step 4: Simplify right side
    317,009.57x = 38,210,959,862.73
  5. Step 5: Solve for x
    x = 38,210,959,862.73/317,009.57
  6. Step 6: Final answer
    x = 120,535.67

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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.