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Finding the Fourth Proportional to 691,442, 1,037,163 and 224,498

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Solution

The fourth proportional to 691,442, 1,037,163 and 224,498 is: 336,747

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,442 : 1,037,163 = 224,498 : x
  2. Step 2: Convert to fraction form
    691,442/1,037,163 = 224,498/x
  3. Step 3: Cross multiply
    691,442x = 1,037,163 × 224,498
  4. Step 4: Simplify right side
    691,442x = 232,841,019,174
  5. Step 5: Solve for x
    x = 232,841,019,174/691,442
  6. Step 6: Final answer
    x = 336,747

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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.