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Finding the Fourth Proportional to 307,452.50, 424,284.46 and 173,316.50

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Solution

The fourth proportional to 307,452.50, 424,284.46 and 173,316.50 is: 239,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,452.50 : 424,284.46 = 173,316.50 : x
  2. Step 2: Convert to fraction form
    307,452.50/424,284.46 = 173,316.50/x
  3. Step 3: Cross multiply
    307,452.50x = 424,284.46 × 173,316.50
  4. Step 4: Simplify right side
    307,452.50x = 73,535,497,611.59
  5. Step 5: Solve for x
    x = 73,535,497,611.59/307,452.50
  6. Step 6: Final answer
    x = 239,176.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.