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Finding the Fourth Proportional to 311,455.80, 437,219.10 and 311,455.80

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Solution

The fourth proportional to 311,455.80, 437,219.10 and 311,455.80 is: 437,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,455.80 : 437,219.10 = 311,455.80 : x
  2. Step 2: Convert to fraction form
    311,455.80/437,219.10 = 311,455.80/x
  3. Step 3: Cross multiply
    311,455.80x = 437,219.10 × 311,455.80
  4. Step 4: Simplify right side
    311,455.80x = 136,174,424,565.78
  5. Step 5: Solve for x
    x = 136,174,424,565.78/311,455.80
  6. Step 6: Final answer
    x = 437,219.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.