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Finding the Fourth Proportional to 206,422.60, 284,866.14 and 154,647.96

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Solution

The fourth proportional to 206,422.60, 284,866.14 and 154,647.96 is: 213,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422.60 : 284,866.14 = 154,647.96 : x
  2. Step 2: Convert to fraction form
    206,422.60/284,866.14 = 154,647.96/x
  3. Step 3: Cross multiply
    206,422.60x = 284,866.14 × 154,647.96
  4. Step 4: Simplify right side
    206,422.60x = 44,053,967,424.07
  5. Step 5: Solve for x
    x = 44,053,967,424.07/206,422.60
  6. Step 6: Final answer
    x = 213,416.40

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1.5x scale

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.