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Finding the Fourth Proportional to 653,903.82, 980,326.35 and 204,393.24

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Solution

The fourth proportional to 653,903.82, 980,326.35 and 204,393.24 is: 306,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,903.82 : 980,326.35 = 204,393.24 : x
  2. Step 2: Convert to fraction form
    653,903.82/980,326.35 = 204,393.24/x
  3. Step 3: Cross multiply
    653,903.82x = 980,326.35 × 204,393.24
  4. Step 4: Simplify right side
    653,903.82x = 200,372,078,933.87
  5. Step 5: Solve for x
    x = 200,372,078,933.87/653,903.82
  6. Step 6: Final answer
    x = 306,424.39

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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.