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Finding the Fourth Proportional to 284,874.64, 393,169.65 and 177,479.27

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Solution

The fourth proportional to 284,874.64, 393,169.65 and 177,479.27 is: 244,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,874.64 : 393,169.65 = 177,479.27 : x
  2. Step 2: Convert to fraction form
    284,874.64/393,169.65 = 177,479.27/x
  3. Step 3: Cross multiply
    284,874.64x = 393,169.65 × 177,479.27
  4. Step 4: Simplify right side
    284,874.64x = 69,779,461,311.15
  5. Step 5: Solve for x
    x = 69,779,461,311.15/284,874.64
  6. Step 6: Final answer
    x = 244,947.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.