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Finding the Fourth Proportional to 310,358.14, 465,527.97 and 85,732.04

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Solution

The fourth proportional to 310,358.14, 465,527.97 and 85,732.04 is: 128,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,358.14 : 465,527.97 = 85,732.04 : x
  2. Step 2: Convert to fraction form
    310,358.14/465,527.97 = 85,732.04/x
  3. Step 3: Cross multiply
    310,358.14x = 465,527.97 × 85,732.04
  4. Step 4: Simplify right side
    310,358.14x = 39,910,663,708.98
  5. Step 5: Solve for x
    x = 39,910,663,708.98/310,358.14
  6. Step 6: Final answer
    x = 128,595.51

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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.