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Finding the Fourth Proportional to 442,830.34, 664,255.77 and 158,540.32

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Solution

The fourth proportional to 442,830.34, 664,255.77 and 158,540.32 is: 237,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,830.34 : 664,255.77 = 158,540.32 : x
  2. Step 2: Convert to fraction form
    442,830.34/664,255.77 = 158,540.32/x
  3. Step 3: Cross multiply
    442,830.34x = 664,255.77 × 158,540.32
  4. Step 4: Simplify right side
    442,830.34x = 105,311,322,337.65
  5. Step 5: Solve for x
    x = 105,311,322,337.65/442,830.34
  6. Step 6: Final answer
    x = 237,814.15

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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.