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Finding the Fourth Proportional to 386,134.16, 532,879.56 and 216,362

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Solution

The fourth proportional to 386,134.16, 532,879.56 and 216,362 is: 298,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,134.16 : 532,879.56 = 216,362 : x
  2. Step 2: Convert to fraction form
    386,134.16/532,879.56 = 216,362/x
  3. Step 3: Cross multiply
    386,134.16x = 532,879.56 × 216,362
  4. Step 4: Simplify right side
    386,134.16x = 115,294,887,360.72
  5. Step 5: Solve for x
    x = 115,294,887,360.72/386,134.16
  6. Step 6: Final answer
    x = 298,587.64

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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.