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Finding the Fourth Proportional to 689,976, 1,034,964 and 191,340

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Solution

The fourth proportional to 689,976, 1,034,964 and 191,340 is: 287,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,976 : 1,034,964 = 191,340 : x
  2. Step 2: Convert to fraction form
    689,976/1,034,964 = 191,340/x
  3. Step 3: Cross multiply
    689,976x = 1,034,964 × 191,340
  4. Step 4: Simplify right side
    689,976x = 198,030,011,760
  5. Step 5: Solve for x
    x = 198,030,011,760/689,976
  6. Step 6: Final answer
    x = 287,010

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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.