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Finding the Fourth Proportional to 877,530, 1,316,295 and 212,682

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Solution

The fourth proportional to 877,530, 1,316,295 and 212,682 is: 319,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,530 : 1,316,295 = 212,682 : x
  2. Step 2: Convert to fraction form
    877,530/1,316,295 = 212,682/x
  3. Step 3: Cross multiply
    877,530x = 1,316,295 × 212,682
  4. Step 4: Simplify right side
    877,530x = 279,952,253,190
  5. Step 5: Solve for x
    x = 279,952,253,190/877,530
  6. Step 6: Final answer
    x = 319,023

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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.