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Finding the Fourth Proportional to 311,184.80, 465,740.40 and 286,301.60

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Solution

The fourth proportional to 311,184.80, 465,740.40 and 286,301.60 is: 428,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,184.80 : 465,740.40 = 286,301.60 : x
  2. Step 2: Convert to fraction form
    311,184.80/465,740.40 = 286,301.60/x
  3. Step 3: Cross multiply
    311,184.80x = 465,740.40 × 286,301.60
  4. Step 4: Simplify right side
    311,184.80x = 133,342,221,704.64
  5. Step 5: Solve for x
    x = 133,342,221,704.64/311,184.80
  6. Step 6: Final answer
    x = 428,498.51

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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.