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Finding the Fourth Proportional to 311,172.48, 429,192 and 215,683.20

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Solution

The fourth proportional to 311,172.48, 429,192 and 215,683.20 is: 297,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,172.48 : 429,192 = 215,683.20 : x
  2. Step 2: Convert to fraction form
    311,172.48/429,192 = 215,683.20/x
  3. Step 3: Cross multiply
    311,172.48x = 429,192 × 215,683.20
  4. Step 4: Simplify right side
    311,172.48x = 92,569,503,974.40
  5. Step 5: Solve for x
    x = 92,569,503,974.40/311,172.48
  6. Step 6: Final answer
    x = 297,486.15

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1.5x scale

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.