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Finding the Fourth Proportional to 311,810.40, 467,715.60 and 307,144.80

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Solution

The fourth proportional to 311,810.40, 467,715.60 and 307,144.80 is: 460,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,810.40 : 467,715.60 = 307,144.80 : x
  2. Step 2: Convert to fraction form
    311,810.40/467,715.60 = 307,144.80/x
  3. Step 3: Cross multiply
    311,810.40x = 467,715.60 × 307,144.80
  4. Step 4: Simplify right side
    311,810.40x = 143,656,414,418.88
  5. Step 5: Solve for x
    x = 143,656,414,418.88/311,810.40
  6. Step 6: Final answer
    x = 460,717.20

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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.