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Finding the Fourth Proportional to 310,643.33, 465,910.32 and 82,941.78

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Solution

The fourth proportional to 310,643.33, 465,910.32 and 82,941.78 is: 124,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,643.33 : 465,910.32 = 82,941.78 : x
  2. Step 2: Convert to fraction form
    310,643.33/465,910.32 = 82,941.78/x
  3. Step 3: Cross multiply
    310,643.33x = 465,910.32 × 82,941.78
  4. Step 4: Simplify right side
    310,643.33x = 38,643,428,931.62
  5. Step 5: Solve for x
    x = 38,643,428,931.62/310,643.33
  6. Step 6: Final answer
    x = 124,398.06

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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.