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Finding the Fourth Proportional to 206,423.60, 284,867.52 and 154,648.96

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Solution

The fourth proportional to 206,423.60, 284,867.52 and 154,648.96 is: 213,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,423.60 : 284,867.52 = 154,648.96 : x
  2. Step 2: Convert to fraction form
    206,423.60/284,867.52 = 154,648.96/x
  3. Step 3: Cross multiply
    206,423.60x = 284,867.52 × 154,648.96
  4. Step 4: Simplify right side
    206,423.60x = 44,054,465,705.78
  5. Step 5: Solve for x
    x = 44,054,465,705.78/206,423.60
  6. Step 6: Final answer
    x = 213,417.78

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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.