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Finding the Fourth Proportional to 286,448.20, 429,847.80 and 118,049.20

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Solution

The fourth proportional to 286,448.20, 429,847.80 and 118,049.20 is: 177,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,448.20 : 429,847.80 = 118,049.20 : x
  2. Step 2: Convert to fraction form
    286,448.20/429,847.80 = 118,049.20/x
  3. Step 3: Cross multiply
    286,448.20x = 429,847.80 × 118,049.20
  4. Step 4: Simplify right side
    286,448.20x = 50,743,188,911.76
  5. Step 5: Solve for x
    x = 50,743,188,911.76/286,448.20
  6. Step 6: Final answer
    x = 177,146.13

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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.