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Finding the Fourth Proportional to 311,711.70, 467,567.55 and 299,270.10

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Solution

The fourth proportional to 311,711.70, 467,567.55 and 299,270.10 is: 448,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,711.70 : 467,567.55 = 299,270.10 : x
  2. Step 2: Convert to fraction form
    311,711.70/467,567.55 = 299,270.10/x
  3. Step 3: Cross multiply
    311,711.70x = 467,567.55 × 299,270.10
  4. Step 4: Simplify right side
    311,711.70x = 139,928,987,445.26
  5. Step 5: Solve for x
    x = 139,928,987,445.26/311,711.70
  6. Step 6: Final answer
    x = 448,905.15

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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.