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Finding the Fourth Proportional to 386,048.02, 532,745.49 and 216,278.50

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Solution

The fourth proportional to 386,048.02, 532,745.49 and 216,278.50 is: 298,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,048.02 : 532,745.49 = 216,278.50 : x
  2. Step 2: Convert to fraction form
    386,048.02/532,745.49 = 216,278.50/x
  3. Step 3: Cross multiply
    386,048.02x = 532,745.49 × 216,278.50
  4. Step 4: Simplify right side
    386,048.02x = 115,221,395,458.97
  5. Step 5: Solve for x
    x = 115,221,395,458.97/386,048.02
  6. Step 6: Final answer
    x = 298,463.89

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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.