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Finding the Fourth Proportional to 653,650.78, 902,136.27 and 399,148.78

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Solution

The fourth proportional to 653,650.78, 902,136.27 and 399,148.78 is: 550,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,650.78 : 902,136.27 = 399,148.78 : x
  2. Step 2: Convert to fraction form
    653,650.78/902,136.27 = 399,148.78/x
  3. Step 3: Cross multiply
    653,650.78x = 902,136.27 × 399,148.78
  4. Step 4: Simplify right side
    653,650.78x = 360,086,591,564.25
  5. Step 5: Solve for x
    x = 360,086,591,564.25/653,650.78
  6. Step 6: Final answer
    x = 550,885.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.