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Finding the Fourth Proportional to 690,796.32, 1,036,334.22 and 291,438

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Solution

The fourth proportional to 690,796.32, 1,036,334.22 and 291,438 is: 437,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,796.32 : 1,036,334.22 = 291,438 : x
  2. Step 2: Convert to fraction form
    690,796.32/1,036,334.22 = 291,438/x
  3. Step 3: Cross multiply
    690,796.32x = 1,036,334.22 × 291,438
  4. Step 4: Simplify right side
    690,796.32x = 302,027,172,408.36
  5. Step 5: Solve for x
    x = 302,027,172,408.36/690,796.32
  6. Step 6: Final answer
    x = 437,215.95

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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.