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Finding the Fourth Proportional to 386,207.69, 532,937.22 and 216,409.01

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Solution

The fourth proportional to 386,207.69, 532,937.22 and 216,409.01 is: 298,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,207.69 : 532,937.22 = 216,409.01 : x
  2. Step 2: Convert to fraction form
    386,207.69/532,937.22 = 216,409.01/x
  3. Step 3: Cross multiply
    386,207.69x = 532,937.22 × 216,409.01
  4. Step 4: Simplify right side
    386,207.69x = 115,332,416,172.35
  5. Step 5: Solve for x
    x = 115,332,416,172.35/386,207.69
  6. Step 6: Final answer
    x = 298,627.96

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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.