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Finding the Fourth Proportional to 386,140.16, 532,887.84 and 216,368

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Solution

The fourth proportional to 386,140.16, 532,887.84 and 216,368 is: 298,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,140.16 : 532,887.84 = 216,368 : x
  2. Step 2: Convert to fraction form
    386,140.16/532,887.84 = 216,368/x
  3. Step 3: Cross multiply
    386,140.16x = 532,887.84 × 216,368
  4. Step 4: Simplify right side
    386,140.16x = 115,299,876,165.12
  5. Step 5: Solve for x
    x = 115,299,876,165.12/386,140.16
  6. Step 6: Final answer
    x = 298,595.92

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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.