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Finding the Fourth Proportional to 526,275, 726,276.78 and 287,811

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Solution

The fourth proportional to 526,275, 726,276.78 and 287,811 is: 397,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,275 : 726,276.78 = 287,811 : x
  2. Step 2: Convert to fraction form
    526,275/726,276.78 = 287,811/x
  3. Step 3: Cross multiply
    526,275x = 726,276.78 × 287,811
  4. Step 4: Simplify right side
    526,275x = 209,030,446,328.58
  5. Step 5: Solve for x
    x = 209,030,446,328.58/526,275
  6. Step 6: Final answer
    x = 397,188.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.