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Finding the Fourth Proportional to 356,304, 491,685.12 and 213,143.16

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Solution

The fourth proportional to 356,304, 491,685.12 and 213,143.16 is: 294,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,304 : 491,685.12 = 213,143.16 : x
  2. Step 2: Convert to fraction form
    356,304/491,685.12 = 213,143.16/x
  3. Step 3: Cross multiply
    356,304x = 491,685.12 × 213,143.16
  4. Step 4: Simplify right side
    356,304x = 104,799,320,201.78
  5. Step 5: Solve for x
    x = 104,799,320,201.78/356,304
  6. Step 6: Final answer
    x = 294,128.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.