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Finding the Fourth Proportional to 386,221.69, 532,956.54 and 216,423.01

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Solution

The fourth proportional to 386,221.69, 532,956.54 and 216,423.01 is: 298,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,221.69 : 532,956.54 = 216,423.01 : x
  2. Step 2: Convert to fraction form
    386,221.69/532,956.54 = 216,423.01/x
  3. Step 3: Cross multiply
    386,221.69x = 532,956.54 × 216,423.01
  4. Step 4: Simplify right side
    386,221.69x = 115,344,058,585.99
  5. Step 5: Solve for x
    x = 115,344,058,585.99/386,221.69
  6. Step 6: Final answer
    x = 298,647.28

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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.