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Finding the Fourth Proportional to 213,713.10, 320,569.65 and 204,612.30

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Solution

The fourth proportional to 213,713.10, 320,569.65 and 204,612.30 is: 306,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,713.10 : 320,569.65 = 204,612.30 : x
  2. Step 2: Convert to fraction form
    213,713.10/320,569.65 = 204,612.30/x
  3. Step 3: Cross multiply
    213,713.10x = 320,569.65 × 204,612.30
  4. Step 4: Simplify right side
    213,713.10x = 65,592,493,396.70
  5. Step 5: Solve for x
    x = 65,592,493,396.70/213,713.10
  6. Step 6: Final answer
    x = 306,918.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.