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Finding the Fourth Proportional to 777,715.80, 1,073,247.58 and 420,019.80

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Solution

The fourth proportional to 777,715.80, 1,073,247.58 and 420,019.80 is: 579,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,715.80 : 1,073,247.58 = 420,019.80 : x
  2. Step 2: Convert to fraction form
    777,715.80/1,073,247.58 = 420,019.80/x
  3. Step 3: Cross multiply
    777,715.80x = 1,073,247.58 × 420,019.80
  4. Step 4: Simplify right side
    777,715.80x = 450,785,233,902.08
  5. Step 5: Solve for x
    x = 450,785,233,902.08/777,715.80
  6. Step 6: Final answer
    x = 579,627.20

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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.