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Finding the Fourth Proportional to 691,220, 1,036,830 and 165,908

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Solution

The fourth proportional to 691,220, 1,036,830 and 165,908 is: 248,862

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,220 : 1,036,830 = 165,908 : x
  2. Step 2: Convert to fraction form
    691,220/1,036,830 = 165,908/x
  3. Step 3: Cross multiply
    691,220x = 1,036,830 × 165,908
  4. Step 4: Simplify right side
    691,220x = 172,018,391,640
  5. Step 5: Solve for x
    x = 172,018,391,640/691,220
  6. Step 6: Final answer
    x = 248,862

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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.