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Finding the Fourth Proportional to 386,146.16, 532,896.12 and 216,374

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Solution

The fourth proportional to 386,146.16, 532,896.12 and 216,374 is: 298,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,146.16 : 532,896.12 = 216,374 : x
  2. Step 2: Convert to fraction form
    386,146.16/532,896.12 = 216,374/x
  3. Step 3: Cross multiply
    386,146.16x = 532,896.12 × 216,374
  4. Step 4: Simplify right side
    386,146.16x = 115,304,865,068.88
  5. Step 5: Solve for x
    x = 115,304,865,068.88/386,146.16
  6. Step 6: Final answer
    x = 298,604.20

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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.