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Finding the Fourth Proportional to 468,352.96, 646,342.72 and 287,029.85

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Solution

The fourth proportional to 468,352.96, 646,342.72 and 287,029.85 is: 396,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,352.96 : 646,342.72 = 287,029.85 : x
  2. Step 2: Convert to fraction form
    468,352.96/646,342.72 = 287,029.85/x
  3. Step 3: Cross multiply
    468,352.96x = 646,342.72 × 287,029.85
  4. Step 4: Simplify right side
    468,352.96x = 185,519,650,020.90
  5. Step 5: Solve for x
    x = 185,519,650,020.90/468,352.96
  6. Step 6: Final answer
    x = 396,110.77

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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.