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Finding the Fourth Proportional to 284,531.08, 426,842.70 and 87,493

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Solution

The fourth proportional to 284,531.08, 426,842.70 and 87,493 is: 131,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,531.08 : 426,842.70 = 87,493 : x
  2. Step 2: Convert to fraction form
    284,531.08/426,842.70 = 87,493/x
  3. Step 3: Cross multiply
    284,531.08x = 426,842.70 × 87,493
  4. Step 4: Simplify right side
    284,531.08x = 37,345,748,351.10
  5. Step 5: Solve for x
    x = 37,345,748,351.10/284,531.08
  6. Step 6: Final answer
    x = 131,253.67

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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.