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Finding the Fourth Proportional to 378,698.60, 568,266.60 and 142,065.20

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Solution

The fourth proportional to 378,698.60, 568,266.60 and 142,065.20 is: 213,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,698.60 : 568,266.60 = 142,065.20 : x
  2. Step 2: Convert to fraction form
    378,698.60/568,266.60 = 142,065.20/x
  3. Step 3: Cross multiply
    378,698.60x = 568,266.60 × 142,065.20
  4. Step 4: Simplify right side
    378,698.60x = 80,730,908,182.32
  5. Step 5: Solve for x
    x = 80,730,908,182.32/378,698.60
  6. Step 6: Final answer
    x = 213,179.84

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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.