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Finding the Fourth Proportional to 386,156.16, 532,909.98 and 216,384

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Solution

The fourth proportional to 386,156.16, 532,909.98 and 216,384 is: 298,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,156.16 : 532,909.98 = 216,384 : x
  2. Step 2: Convert to fraction form
    386,156.16/532,909.98 = 216,384/x
  3. Step 3: Cross multiply
    386,156.16x = 532,909.98 × 216,384
  4. Step 4: Simplify right side
    386,156.16x = 115,313,193,112.32
  5. Step 5: Solve for x
    x = 115,313,193,112.32/386,156.16
  6. Step 6: Final answer
    x = 298,618.03

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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.