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Finding the Fourth Proportional to 284,006.93, 426,098.79 and 84,328.36

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Solution

The fourth proportional to 284,006.93, 426,098.79 and 84,328.36 is: 126,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,006.93 : 426,098.79 = 84,328.36 : x
  2. Step 2: Convert to fraction form
    284,006.93/426,098.79 = 84,328.36/x
  3. Step 3: Cross multiply
    284,006.93x = 426,098.79 × 84,328.36
  4. Step 4: Simplify right side
    284,006.93x = 35,932,211,093.44
  5. Step 5: Solve for x
    x = 35,932,211,093.44/284,006.93
  6. Step 6: Final answer
    x = 126,518.79

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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.