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Finding the Fourth Proportional to 311,002.40, 465,812.40 and 269,530.40

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Solution

The fourth proportional to 311,002.40, 465,812.40 and 269,530.40 is: 403,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,002.40 : 465,812.40 = 269,530.40 : x
  2. Step 2: Convert to fraction form
    311,002.40/465,812.40 = 269,530.40/x
  3. Step 3: Cross multiply
    311,002.40x = 465,812.40 × 269,530.40
  4. Step 4: Simplify right side
    311,002.40x = 125,550,602,496.96
  5. Step 5: Solve for x
    x = 125,550,602,496.96/311,002.40
  6. Step 6: Final answer
    x = 403,696.57

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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.