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Finding the Fourth Proportional to 897,921.75, 1,346,849.82 and 266,819.16

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Solution

The fourth proportional to 897,921.75, 1,346,849.82 and 266,819.16 is: 400,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,921.75 : 1,346,849.82 = 266,819.16 : x
  2. Step 2: Convert to fraction form
    897,921.75/1,346,849.82 = 266,819.16/x
  3. Step 3: Cross multiply
    897,921.75x = 1,346,849.82 × 266,819.16
  4. Step 4: Simplify right side
    897,921.75x = 359,365,337,618.55
  5. Step 5: Solve for x
    x = 359,365,337,618.55/897,921.75
  6. Step 6: Final answer
    x = 400,218.99

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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.