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Finding the Fourth Proportional to 386,205.16, 532,963.77 and 216,439.28

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Solution

The fourth proportional to 386,205.16, 532,963.77 and 216,439.28 is: 298,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,205.16 : 532,963.77 = 216,439.28 : x
  2. Step 2: Convert to fraction form
    386,205.16/532,963.77 = 216,439.28/x
  3. Step 3: Cross multiply
    386,205.16x = 532,963.77 × 216,439.28
  4. Step 4: Simplify right side
    386,205.16x = 115,354,294,644.89
  5. Step 5: Solve for x
    x = 115,354,294,644.89/386,205.16
  6. Step 6: Final answer
    x = 298,686.57

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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.