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Finding the Fourth Proportional to 777,900.50, 1,073,502.72 and 420,204.50

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Solution

The fourth proportional to 777,900.50, 1,073,502.72 and 420,204.50 is: 579,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,900.50 : 1,073,502.72 = 420,204.50 : x
  2. Step 2: Convert to fraction form
    777,900.50/1,073,502.72 = 420,204.50/x
  3. Step 3: Cross multiply
    777,900.50x = 1,073,502.72 × 420,204.50
  4. Step 4: Simplify right side
    777,900.50x = 451,090,673,706.24
  5. Step 5: Solve for x
    x = 451,090,673,706.24/777,900.50
  6. Step 6: Final answer
    x = 579,882.23

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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.