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Finding the Fourth Proportional to 560,854.12, 773,974.68 and 306,205.30

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Solution

The fourth proportional to 560,854.12, 773,974.68 and 306,205.30 is: 422,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,854.12 : 773,974.68 = 306,205.30 : x
  2. Step 2: Convert to fraction form
    560,854.12/773,974.68 = 306,205.30/x
  3. Step 3: Cross multiply
    560,854.12x = 773,974.68 × 306,205.30
  4. Step 4: Simplify right side
    560,854.12x = 236,995,149,081.80
  5. Step 5: Solve for x
    x = 236,995,149,081.80/560,854.12
  6. Step 6: Final answer
    x = 422,561.13

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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.