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Finding the Fourth Proportional to 389,833.96, 537,965 and 217,754.32

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Solution

The fourth proportional to 389,833.96, 537,965 and 217,754.32 is: 300,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,833.96 : 537,965 = 217,754.32 : x
  2. Step 2: Convert to fraction form
    389,833.96/537,965 = 217,754.32/x
  3. Step 3: Cross multiply
    389,833.96x = 537,965 × 217,754.32
  4. Step 4: Simplify right side
    389,833.96x = 117,144,202,758.80
  5. Step 5: Solve for x
    x = 117,144,202,758.80/389,833.96
  6. Step 6: Final answer
    x = 300,497.69

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1.5x scale

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.