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Finding the Fourth Proportional to 311,209.20, 466,813.80 and 236,559.60

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Solution

The fourth proportional to 311,209.20, 466,813.80 and 236,559.60 is: 354,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,209.20 : 466,813.80 = 236,559.60 : x
  2. Step 2: Convert to fraction form
    311,209.20/466,813.80 = 236,559.60/x
  3. Step 3: Cross multiply
    311,209.20x = 466,813.80 × 236,559.60
  4. Step 4: Simplify right side
    311,209.20x = 110,429,285,802.48
  5. Step 5: Solve for x
    x = 110,429,285,802.48/311,209.20
  6. Step 6: Final answer
    x = 354,839.40

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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.