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Finding the Fourth Proportional to 668,283.40, 1,002,468.78 and 194,929

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Solution

The fourth proportional to 668,283.40, 1,002,468.78 and 194,929 is: 292,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,283.40 : 1,002,468.78 = 194,929 : x
  2. Step 2: Convert to fraction form
    668,283.40/1,002,468.78 = 194,929/x
  3. Step 3: Cross multiply
    668,283.40x = 1,002,468.78 × 194,929
  4. Step 4: Simplify right side
    668,283.40x = 195,410,236,816.62
  5. Step 5: Solve for x
    x = 195,410,236,816.62/668,283.40
  6. Step 6: Final answer
    x = 292,406.24

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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.