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Finding the Fourth Proportional to 668,214.57, 1,002,240.45 and 194,900.40

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Solution

The fourth proportional to 668,214.57, 1,002,240.45 and 194,900.40 is: 292,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,214.57 : 1,002,240.45 = 194,900.40 : x
  2. Step 2: Convert to fraction form
    668,214.57/1,002,240.45 = 194,900.40/x
  3. Step 3: Cross multiply
    668,214.57x = 1,002,240.45 × 194,900.40
  4. Step 4: Simplify right side
    668,214.57x = 195,337,064,601.18
  5. Step 5: Solve for x
    x = 195,337,064,601.18/668,214.57
  6. Step 6: Final answer
    x = 292,326.86

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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.