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Finding the Fourth Proportional to 284,371.26, 426,666.60 and 203,409.78

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Solution

The fourth proportional to 284,371.26, 426,666.60 and 203,409.78 is: 305,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,371.26 : 426,666.60 = 203,409.78 : x
  2. Step 2: Convert to fraction form
    284,371.26/426,666.60 = 203,409.78/x
  3. Step 3: Cross multiply
    284,371.26x = 426,666.60 × 203,409.78
  4. Step 4: Simplify right side
    284,371.26x = 86,788,159,239.35
  5. Step 5: Solve for x
    x = 86,788,159,239.35/284,371.26
  6. Step 6: Final answer
    x = 305,193.15

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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.