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Finding the Fourth Proportional to 526,784, 726,961.92 and 288,320

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Solution

The fourth proportional to 526,784, 726,961.92 and 288,320 is: 397,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,784 : 726,961.92 = 288,320 : x
  2. Step 2: Convert to fraction form
    526,784/726,961.92 = 288,320/x
  3. Step 3: Cross multiply
    526,784x = 726,961.92 × 288,320
  4. Step 4: Simplify right side
    526,784x = 209,597,660,774.40
  5. Step 5: Solve for x
    x = 209,597,660,774.40/526,784
  6. Step 6: Final answer
    x = 397,881.60

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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.