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Finding the Fourth Proportional to 668,355.12, 1,002,663.84 and 294,378

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Solution

The fourth proportional to 668,355.12, 1,002,663.84 and 294,378 is: 441,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,355.12 : 1,002,663.84 = 294,378 : x
  2. Step 2: Convert to fraction form
    668,355.12/1,002,663.84 = 294,378/x
  3. Step 3: Cross multiply
    668,355.12x = 1,002,663.84 × 294,378
  4. Step 4: Simplify right side
    668,355.12x = 295,162,175,891.52
  5. Step 5: Solve for x
    x = 295,162,175,891.52/668,355.12
  6. Step 6: Final answer
    x = 441,624.77

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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.