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Finding the Fourth Proportional to 386,278.88, 533,081.25 and 216,513

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Solution

The fourth proportional to 386,278.88, 533,081.25 and 216,513 is: 298,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,278.88 : 533,081.25 = 216,513 : x
  2. Step 2: Convert to fraction form
    386,278.88/533,081.25 = 216,513/x
  3. Step 3: Cross multiply
    386,278.88x = 533,081.25 × 216,513
  4. Step 4: Simplify right side
    386,278.88x = 115,419,020,681.25
  5. Step 5: Solve for x
    x = 115,419,020,681.25/386,278.88
  6. Step 6: Final answer
    x = 298,797.13

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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.