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Finding the Fourth Proportional to 389,740.80, 584,611.20 and 311,008.80

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Solution

The fourth proportional to 389,740.80, 584,611.20 and 311,008.80 is: 466,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,740.80 : 584,611.20 = 311,008.80 : x
  2. Step 2: Convert to fraction form
    389,740.80/584,611.20 = 311,008.80/x
  3. Step 3: Cross multiply
    389,740.80x = 584,611.20 × 311,008.80
  4. Step 4: Simplify right side
    389,740.80x = 181,819,227,778.56
  5. Step 5: Solve for x
    x = 181,819,227,778.56/389,740.80
  6. Step 6: Final answer
    x = 466,513.20

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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.