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Finding the Fourth Proportional to 526,684, 726,825.36 and 288,220

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Solution

The fourth proportional to 526,684, 726,825.36 and 288,220 is: 397,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,684 : 726,825.36 = 288,220 : x
  2. Step 2: Convert to fraction form
    526,684/726,825.36 = 288,220/x
  3. Step 3: Cross multiply
    526,684x = 726,825.36 × 288,220
  4. Step 4: Simplify right side
    526,684x = 209,485,605,259.20
  5. Step 5: Solve for x
    x = 209,485,605,259.20/526,684
  6. Step 6: Final answer
    x = 397,744.39

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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.