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Finding the Fourth Proportional to 777,804, 1,073,370.24 and 420,108

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Solution

The fourth proportional to 777,804, 1,073,370.24 and 420,108 is: 579,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,804 : 1,073,370.24 = 420,108 : x
  2. Step 2: Convert to fraction form
    777,804/1,073,370.24 = 420,108/x
  3. Step 3: Cross multiply
    777,804x = 1,073,370.24 × 420,108
  4. Step 4: Simplify right side
    777,804x = 450,931,424,785.92
  5. Step 5: Solve for x
    x = 450,931,424,785.92/777,804
  6. Step 6: Final answer
    x = 579,749.43

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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.