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Finding the Fourth Proportional to 526,608, 726,719.52 and 288,144

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Solution

The fourth proportional to 526,608, 726,719.52 and 288,144 is: 397,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,608 : 726,719.52 = 288,144 : x
  2. Step 2: Convert to fraction form
    526,608/726,719.52 = 288,144/x
  3. Step 3: Cross multiply
    526,608x = 726,719.52 × 288,144
  4. Step 4: Simplify right side
    526,608x = 209,399,869,370.88
  5. Step 5: Solve for x
    x = 209,399,869,370.88/526,608
  6. Step 6: Final answer
    x = 397,638.98

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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.