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Finding the Fourth Proportional to 489,232.60, 732,974.10 and 413,999.80

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Solution

The fourth proportional to 489,232.60, 732,974.10 and 413,999.80 is: 620,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,232.60 : 732,974.10 = 413,999.80 : x
  2. Step 2: Convert to fraction form
    489,232.60/732,974.10 = 413,999.80/x
  3. Step 3: Cross multiply
    489,232.60x = 732,974.10 × 413,999.80
  4. Step 4: Simplify right side
    489,232.60x = 303,451,130,805.18
  5. Step 5: Solve for x
    x = 303,451,130,805.18/489,232.60
  6. Step 6: Final answer
    x = 620,259.42

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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.