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Finding the Fourth Proportional to 310,639.46, 465,904.51 and 82,937.90

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Solution

The fourth proportional to 310,639.46, 465,904.51 and 82,937.90 is: 124,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,639.46 : 465,904.51 = 82,937.90 : x
  2. Step 2: Convert to fraction form
    310,639.46/465,904.51 = 82,937.90/x
  3. Step 3: Cross multiply
    310,639.46x = 465,904.51 × 82,937.90
  4. Step 4: Simplify right side
    310,639.46x = 38,641,141,306.99
  5. Step 5: Solve for x
    x = 38,641,141,306.99/310,639.46
  6. Step 6: Final answer
    x = 124,392.25

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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.