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Finding the Fourth Proportional to 402,468.42, 603,979.43 and 165,811.10

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Solution

The fourth proportional to 402,468.42, 603,979.43 and 165,811.10 is: 248,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,468.42 : 603,979.43 = 165,811.10 : x
  2. Step 2: Convert to fraction form
    402,468.42/603,979.43 = 165,811.10/x
  3. Step 3: Cross multiply
    402,468.42x = 603,979.43 × 165,811.10
  4. Step 4: Simplify right side
    402,468.42x = 100,146,491,060.30
  5. Step 5: Solve for x
    x = 100,146,491,060.30/402,468.42
  6. Step 6: Final answer
    x = 248,830.68

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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.