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Finding the Fourth Proportional to 311,256.80, 466,885.20 and 274,515.20

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Solution

The fourth proportional to 311,256.80, 466,885.20 and 274,515.20 is: 411,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,256.80 : 466,885.20 = 274,515.20 : x
  2. Step 2: Convert to fraction form
    311,256.80/466,885.20 = 274,515.20/x
  3. Step 3: Cross multiply
    311,256.80x = 466,885.20 × 274,515.20
  4. Step 4: Simplify right side
    311,256.80x = 128,167,084,055.04
  5. Step 5: Solve for x
    x = 128,167,084,055.04/311,256.80
  6. Step 6: Final answer
    x = 411,772.80

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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.