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Finding the Fourth Proportional to 283,900.32, 424,964.72 and 209,104.92

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Solution

The fourth proportional to 283,900.32, 424,964.72 and 209,104.92 is: 313,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,900.32 : 424,964.72 = 209,104.92 : x
  2. Step 2: Convert to fraction form
    283,900.32/424,964.72 = 209,104.92/x
  3. Step 3: Cross multiply
    283,900.32x = 424,964.72 × 209,104.92
  4. Step 4: Simplify right side
    283,900.32x = 88,862,213,778.42
  5. Step 5: Solve for x
    x = 88,862,213,778.42/283,900.32
  6. Step 6: Final answer
    x = 313,004.98

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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.