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Finding the Fourth Proportional to 777,760.50, 1,073,309.90 and 420,064.50

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Solution

The fourth proportional to 777,760.50, 1,073,309.90 and 420,064.50 is: 579,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,760.50 : 1,073,309.90 = 420,064.50 : x
  2. Step 2: Convert to fraction form
    777,760.50/1,073,309.90 = 420,064.50/x
  3. Step 3: Cross multiply
    777,760.50x = 1,073,309.90 × 420,064.50
  4. Step 4: Simplify right side
    777,760.50x = 450,859,384,388.23
  5. Step 5: Solve for x
    x = 450,859,384,388.23/777,760.50
  6. Step 6: Final answer
    x = 579,689.23

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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.