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Finding the Fourth Proportional to 312,778.38, 469,915.36 and 200,678.78

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Solution

The fourth proportional to 312,778.38, 469,915.36 and 200,678.78 is: 301,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,778.38 : 469,915.36 = 200,678.78 : x
  2. Step 2: Convert to fraction form
    312,778.38/469,915.36 = 200,678.78/x
  3. Step 3: Cross multiply
    312,778.38x = 469,915.36 × 200,678.78
  4. Step 4: Simplify right side
    312,778.38x = 94,302,041,148.06
  5. Step 5: Solve for x
    x = 94,302,041,148.06/312,778.38
  6. Step 6: Final answer
    x = 301,497.95

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1.5x scale

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.