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Finding the Fourth Proportional to 378,830.88, 568,337.76 and 142,176

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Solution

The fourth proportional to 378,830.88, 568,337.76 and 142,176 is: 213,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,830.88 : 568,337.76 = 142,176 : x
  2. Step 2: Convert to fraction form
    378,830.88/568,337.76 = 142,176/x
  3. Step 3: Cross multiply
    378,830.88x = 568,337.76 × 142,176
  4. Step 4: Simplify right side
    378,830.88x = 80,803,989,365.76
  5. Step 5: Solve for x
    x = 80,803,989,365.76/378,830.88
  6. Step 6: Final answer
    x = 213,298.32

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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.