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Finding the Fourth Proportional to 378,952.78, 568,606.35 and 165,693.01

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Solution

The fourth proportional to 378,952.78, 568,606.35 and 165,693.01 is: 248,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,952.78 : 568,606.35 = 165,693.01 : x
  2. Step 2: Convert to fraction form
    378,952.78/568,606.35 = 165,693.01/x
  3. Step 3: Cross multiply
    378,952.78x = 568,606.35 × 165,693.01
  4. Step 4: Simplify right side
    378,952.78x = 94,214,094,793.58
  5. Step 5: Solve for x
    x = 94,214,094,793.58/378,952.78
  6. Step 6: Final answer
    x = 248,616.98

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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.