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Finding the Fourth Proportional to 386,137.16, 532,883.70 and 216,365

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Solution

The fourth proportional to 386,137.16, 532,883.70 and 216,365 is: 298,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,137.16 : 532,883.70 = 216,365 : x
  2. Step 2: Convert to fraction form
    386,137.16/532,883.70 = 216,365/x
  3. Step 3: Cross multiply
    386,137.16x = 532,883.70 × 216,365
  4. Step 4: Simplify right side
    386,137.16x = 115,297,381,750.50
  5. Step 5: Solve for x
    x = 115,297,381,750.50/386,137.16
  6. Step 6: Final answer
    x = 298,591.78

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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.