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Finding the Fourth Proportional to 312,915.52, 469,217.93 and 99,655.61

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Solution

The fourth proportional to 312,915.52, 469,217.93 and 99,655.61 is: 149,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,915.52 : 469,217.93 = 99,655.61 : x
  2. Step 2: Convert to fraction form
    312,915.52/469,217.93 = 99,655.61/x
  3. Step 3: Cross multiply
    312,915.52x = 469,217.93 × 99,655.61
  4. Step 4: Simplify right side
    312,915.52x = 46,760,198,538.81
  5. Step 5: Solve for x
    x = 46,760,198,538.81/312,915.52
  6. Step 6: Final answer
    x = 149,433.94

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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.