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Finding the Fourth Proportional to 284,489.88, 426,641.01 and 94,898

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Solution

The fourth proportional to 284,489.88, 426,641.01 and 94,898 is: 142,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,489.88 : 426,641.01 = 94,898 : x
  2. Step 2: Convert to fraction form
    284,489.88/426,641.01 = 94,898/x
  3. Step 3: Cross multiply
    284,489.88x = 426,641.01 × 94,898
  4. Step 4: Simplify right side
    284,489.88x = 40,487,378,566.98
  5. Step 5: Solve for x
    x = 40,487,378,566.98/284,489.88
  6. Step 6: Final answer
    x = 142,315.71

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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.