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Finding the Fourth Proportional to 213,224.60, 318,116.14 and 205,471.64

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Solution

The fourth proportional to 213,224.60, 318,116.14 and 205,471.64 is: 306,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,224.60 : 318,116.14 = 205,471.64 : x
  2. Step 2: Convert to fraction form
    213,224.60/318,116.14 = 205,471.64/x
  3. Step 3: Cross multiply
    213,224.60x = 318,116.14 × 205,471.64
  4. Step 4: Simplify right side
    213,224.60x = 65,363,844,996.27
  5. Step 5: Solve for x
    x = 65,363,844,996.27/213,224.60
  6. Step 6: Final answer
    x = 306,549.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.