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Finding the Fourth Proportional to 317,207.95, 475,789.75 and 148,765.21

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Solution

The fourth proportional to 317,207.95, 475,789.75 and 148,765.21 is: 223,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,207.95 : 475,789.75 = 148,765.21 : x
  2. Step 2: Convert to fraction form
    317,207.95/475,789.75 = 148,765.21/x
  3. Step 3: Cross multiply
    317,207.95x = 475,789.75 × 148,765.21
  4. Step 4: Simplify right side
    317,207.95x = 70,780,960,513.21
  5. Step 5: Solve for x
    x = 70,780,960,513.21/317,207.95
  6. Step 6: Final answer
    x = 223,137.41

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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.