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Finding the Fourth Proportional to 526,643, 726,767.82 and 288,179

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Solution

The fourth proportional to 526,643, 726,767.82 and 288,179 is: 397,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,643 : 726,767.82 = 288,179 : x
  2. Step 2: Convert to fraction form
    526,643/726,767.82 = 288,179/x
  3. Step 3: Cross multiply
    526,643x = 726,767.82 × 288,179
  4. Step 4: Simplify right side
    526,643x = 209,439,223,599.78
  5. Step 5: Solve for x
    x = 209,439,223,599.78/526,643
  6. Step 6: Final answer
    x = 397,687.28

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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.