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Finding the Fourth Proportional to 284,169.96, 426,116.70 and 165,879.72

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Solution

The fourth proportional to 284,169.96, 426,116.70 and 165,879.72 is: 248,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,169.96 : 426,116.70 = 165,879.72 : x
  2. Step 2: Convert to fraction form
    284,169.96/426,116.70 = 165,879.72/x
  3. Step 3: Cross multiply
    284,169.96x = 426,116.70 × 165,879.72
  4. Step 4: Simplify right side
    284,169.96x = 70,684,118,883.32
  5. Step 5: Solve for x
    x = 70,684,118,883.32/284,169.96
  6. Step 6: Final answer
    x = 248,738.88

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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.