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Finding the Fourth Proportional to 526,638.50, 726,779.82 and 297,251.64

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Solution

The fourth proportional to 526,638.50, 726,779.82 and 297,251.64 is: 410,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,638.50 : 726,779.82 = 297,251.64 : x
  2. Step 2: Convert to fraction form
    526,638.50/726,779.82 = 297,251.64/x
  3. Step 3: Cross multiply
    526,638.50x = 726,779.82 × 297,251.64
  4. Step 4: Simplify right side
    526,638.50x = 216,036,493,413.91
  5. Step 5: Solve for x
    x = 216,036,493,413.91/526,638.50
  6. Step 6: Final answer
    x = 410,217.81

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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.