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Finding the Fourth Proportional to 519,023.85, 779,641.97 and 488,687.46

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Solution

The fourth proportional to 519,023.85, 779,641.97 and 488,687.46 is: 734,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,023.85 : 779,641.97 = 488,687.46 : x
  2. Step 2: Convert to fraction form
    519,023.85/779,641.97 = 488,687.46/x
  3. Step 3: Cross multiply
    519,023.85x = 779,641.97 × 488,687.46
  4. Step 4: Simplify right side
    519,023.85x = 381,001,251,585.26
  5. Step 5: Solve for x
    x = 381,001,251,585.26/519,023.85
  6. Step 6: Final answer
    x = 734,072.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.