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Finding the Fourth Proportional to 312,915.26, 469,217.55 and 99,655.37

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Solution

The fourth proportional to 312,915.26, 469,217.55 and 99,655.37 is: 149,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,915.26 : 469,217.55 = 99,655.37 : x
  2. Step 2: Convert to fraction form
    312,915.26/469,217.55 = 99,655.37/x
  3. Step 3: Cross multiply
    312,915.26x = 469,217.55 × 99,655.37
  4. Step 4: Simplify right side
    312,915.26x = 46,760,048,555.74
  5. Step 5: Solve for x
    x = 46,760,048,555.74/312,915.26
  6. Step 6: Final answer
    x = 149,433.58

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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.