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Finding the Fourth Proportional to 658,124.40, 987,647.40 and 284,415.60

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Solution

The fourth proportional to 658,124.40, 987,647.40 and 284,415.60 is: 426,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,124.40 : 987,647.40 = 284,415.60 : x
  2. Step 2: Convert to fraction form
    658,124.40/987,647.40 = 284,415.60/x
  3. Step 3: Cross multiply
    658,124.40x = 987,647.40 × 284,415.60
  4. Step 4: Simplify right side
    658,124.40x = 280,902,327,859.44
  5. Step 5: Solve for x
    x = 280,902,327,859.44/658,124.40
  6. Step 6: Final answer
    x = 426,822.54

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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.