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Finding the Fourth Proportional to 317,434.55, 475,960.86 and 148,991.81

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Solution

The fourth proportional to 317,434.55, 475,960.86 and 148,991.81 is: 223,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,434.55 : 475,960.86 = 148,991.81 : x
  2. Step 2: Convert to fraction form
    317,434.55/475,960.86 = 148,991.81/x
  3. Step 3: Cross multiply
    317,434.55x = 475,960.86 × 148,991.81
  4. Step 4: Simplify right side
    317,434.55x = 70,914,267,640.75
  5. Step 5: Solve for x
    x = 70,914,267,640.75/317,434.55
  6. Step 6: Final answer
    x = 223,398.08

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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.