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Finding the Fourth Proportional to 353,446.88, 487,752.91 and 210,203.78

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Solution

The fourth proportional to 353,446.88, 487,752.91 and 210,203.78 is: 290,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,446.88 : 487,752.91 = 210,203.78 : x
  2. Step 2: Convert to fraction form
    353,446.88/487,752.91 = 210,203.78/x
  3. Step 3: Cross multiply
    353,446.88x = 487,752.91 × 210,203.78
  4. Step 4: Simplify right side
    353,446.88x = 102,527,502,423.73
  5. Step 5: Solve for x
    x = 102,527,502,423.73/353,446.88
  6. Step 6: Final answer
    x = 290,078.96

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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.