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Finding the Fourth Proportional to 851,438.84, 1,275,713 and 513,769.96

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Solution

The fourth proportional to 851,438.84, 1,275,713 and 513,769.96 is: 769,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,438.84 : 1,275,713 = 513,769.96 : x
  2. Step 2: Convert to fraction form
    851,438.84/1,275,713 = 513,769.96/x
  3. Step 3: Cross multiply
    851,438.84x = 1,275,713 × 513,769.96
  4. Step 4: Simplify right side
    851,438.84x = 655,423,016,981.48
  5. Step 5: Solve for x
    x = 655,423,016,981.48/851,438.84
  6. Step 6: Final answer
    x = 769,782.85

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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.