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Finding the Fourth Proportional to 777,640, 1,073,143.20 and 419,944

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Solution

The fourth proportional to 777,640, 1,073,143.20 and 419,944 is: 579,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,640 : 1,073,143.20 = 419,944 : x
  2. Step 2: Convert to fraction form
    777,640/1,073,143.20 = 419,944/x
  3. Step 3: Cross multiply
    777,640x = 1,073,143.20 × 419,944
  4. Step 4: Simplify right side
    777,640x = 450,660,047,980.80
  5. Step 5: Solve for x
    x = 450,660,047,980.80/777,640
  6. Step 6: Final answer
    x = 579,522.72

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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.