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Finding the Fourth Proportional to 337,002.20, 505,503.30 and 311,341.40

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Solution

The fourth proportional to 337,002.20, 505,503.30 and 311,341.40 is: 467,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,002.20 : 505,503.30 = 311,341.40 : x
  2. Step 2: Convert to fraction form
    337,002.20/505,503.30 = 311,341.40/x
  3. Step 3: Cross multiply
    337,002.20x = 505,503.30 × 311,341.40
  4. Step 4: Simplify right side
    337,002.20x = 157,384,105,126.62
  5. Step 5: Solve for x
    x = 157,384,105,126.62/337,002.20
  6. Step 6: Final answer
    x = 467,012.10

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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.