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Finding the Fourth Proportional to 386,139.16, 532,886.46 and 216,367

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Solution

The fourth proportional to 386,139.16, 532,886.46 and 216,367 is: 298,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,139.16 : 532,886.46 = 216,367 : x
  2. Step 2: Convert to fraction form
    386,139.16/532,886.46 = 216,367/x
  3. Step 3: Cross multiply
    386,139.16x = 532,886.46 × 216,367
  4. Step 4: Simplify right side
    386,139.16x = 115,299,044,690.82
  5. Step 5: Solve for x
    x = 115,299,044,690.82/386,139.16
  6. Step 6: Final answer
    x = 298,594.54

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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.