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Finding the Fourth Proportional to 389,439.30, 584,158.95 and 256,469.70

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Solution

The fourth proportional to 389,439.30, 584,158.95 and 256,469.70 is: 384,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,439.30 : 584,158.95 = 256,469.70 : x
  2. Step 2: Convert to fraction form
    389,439.30/584,158.95 = 256,469.70/x
  3. Step 3: Cross multiply
    389,439.30x = 584,158.95 × 256,469.70
  4. Step 4: Simplify right side
    389,439.30x = 149,819,070,658.82
  5. Step 5: Solve for x
    x = 149,819,070,658.82/389,439.30
  6. Step 6: Final answer
    x = 384,704.55

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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.