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Finding the Fourth Proportional to 386,162.62, 532,899.27 and 216,400.06

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Solution

The fourth proportional to 386,162.62, 532,899.27 and 216,400.06 is: 298,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,162.62 : 532,899.27 = 216,400.06 : x
  2. Step 2: Convert to fraction form
    386,162.62/532,899.27 = 216,400.06/x
  3. Step 3: Cross multiply
    386,162.62x = 532,899.27 × 216,400.06
  4. Step 4: Simplify right side
    386,162.62x = 115,319,434,001.96
  5. Step 5: Solve for x
    x = 115,319,434,001.96/386,162.62
  6. Step 6: Final answer
    x = 298,629.20

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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.