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Finding the Fourth Proportional to 309,480.75, 464,221.13 and 204,275.12

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Solution

The fourth proportional to 309,480.75, 464,221.13 and 204,275.12 is: 306,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,480.75 : 464,221.13 = 204,275.12 : x
  2. Step 2: Convert to fraction form
    309,480.75/464,221.13 = 204,275.12/x
  3. Step 3: Cross multiply
    309,480.75x = 464,221.13 × 204,275.12
  4. Step 4: Simplify right side
    309,480.75x = 94,828,824,716.18
  5. Step 5: Solve for x
    x = 94,828,824,716.18/309,480.75
  6. Step 6: Final answer
    x = 306,412.68

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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.