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Finding the Fourth Proportional to 311,400.80, 467,101.20 and 308,448.35

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Solution

The fourth proportional to 311,400.80, 467,101.20 and 308,448.35 is: 462,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,400.80 : 467,101.20 = 308,448.35 : x
  2. Step 2: Convert to fraction form
    311,400.80/467,101.20 = 308,448.35/x
  3. Step 3: Cross multiply
    311,400.80x = 467,101.20 × 308,448.35
  4. Step 4: Simplify right side
    311,400.80x = 144,076,594,423.02
  5. Step 5: Solve for x
    x = 144,076,594,423.02/311,400.80
  6. Step 6: Final answer
    x = 462,672.53

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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.