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Finding the Fourth Proportional to 389,657.20, 584,485.80 and 140,306.80

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Solution

The fourth proportional to 389,657.20, 584,485.80 and 140,306.80 is: 210,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,657.20 : 584,485.80 = 140,306.80 : x
  2. Step 2: Convert to fraction form
    389,657.20/584,485.80 = 140,306.80/x
  3. Step 3: Cross multiply
    389,657.20x = 584,485.80 × 140,306.80
  4. Step 4: Simplify right side
    389,657.20x = 82,007,332,243.44
  5. Step 5: Solve for x
    x = 82,007,332,243.44/389,657.20
  6. Step 6: Final answer
    x = 210,460.20

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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.