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Finding the Fourth Proportional to 613,996, 921,045.84 and 170,764

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Solution

The fourth proportional to 613,996, 921,045.84 and 170,764 is: 256,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,996 : 921,045.84 = 170,764 : x
  2. Step 2: Convert to fraction form
    613,996/921,045.84 = 170,764/x
  3. Step 3: Cross multiply
    613,996x = 921,045.84 × 170,764
  4. Step 4: Simplify right side
    613,996x = 157,281,471,821.76
  5. Step 5: Solve for x
    x = 157,281,471,821.76/613,996
  6. Step 6: Final answer
    x = 256,160.42

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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.