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Finding the Fourth Proportional to 284,337.42, 426,137.96 and 115,661.94

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Solution

The fourth proportional to 284,337.42, 426,137.96 and 115,661.94 is: 173,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,337.42 : 426,137.96 = 115,661.94 : x
  2. Step 2: Convert to fraction form
    284,337.42/426,137.96 = 115,661.94/x
  3. Step 3: Cross multiply
    284,337.42x = 426,137.96 × 115,661.94
  4. Step 4: Simplify right side
    284,337.42x = 49,287,943,161.24
  5. Step 5: Solve for x
    x = 49,287,943,161.24/284,337.42
  6. Step 6: Final answer
    x = 173,343.15

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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.