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Finding the Fourth Proportional to 321,043.20, 480,643.20 and 311,827.20

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Solution

The fourth proportional to 321,043.20, 480,643.20 and 311,827.20 is: 466,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,043.20 : 480,643.20 = 311,827.20 : x
  2. Step 2: Convert to fraction form
    321,043.20/480,643.20 = 311,827.20/x
  3. Step 3: Cross multiply
    321,043.20x = 480,643.20 × 311,827.20
  4. Step 4: Simplify right side
    321,043.20x = 149,877,623,255.04
  5. Step 5: Solve for x
    x = 149,877,623,255.04/321,043.20
  6. Step 6: Final answer
    x = 466,845.66

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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.