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Finding the Fourth Proportional to 855,375, 1,283,062.50 and 264,399

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Solution

The fourth proportional to 855,375, 1,283,062.50 and 264,399 is: 396,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,375 : 1,283,062.50 = 264,399 : x
  2. Step 2: Convert to fraction form
    855,375/1,283,062.50 = 264,399/x
  3. Step 3: Cross multiply
    855,375x = 1,283,062.50 × 264,399
  4. Step 4: Simplify right side
    855,375x = 339,240,441,937.50
  5. Step 5: Solve for x
    x = 339,240,441,937.50/855,375
  6. Step 6: Final answer
    x = 396,598.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.