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Finding the Fourth Proportional to 526,273, 726,274.02 and 287,809

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Solution

The fourth proportional to 526,273, 726,274.02 and 287,809 is: 397,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,273 : 726,274.02 = 287,809 : x
  2. Step 2: Convert to fraction form
    526,273/726,274.02 = 287,809/x
  3. Step 3: Cross multiply
    526,273x = 726,274.02 × 287,809
  4. Step 4: Simplify right side
    526,273x = 209,028,199,422.18
  5. Step 5: Solve for x
    x = 209,028,199,422.18/526,273
  6. Step 6: Final answer
    x = 397,185.87

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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.