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Finding the Fourth Proportional to 489,269.20, 733,903.80 and 410,537.20

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Solution

The fourth proportional to 489,269.20, 733,903.80 and 410,537.20 is: 615,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,269.20 : 733,903.80 = 410,537.20 : x
  2. Step 2: Convert to fraction form
    489,269.20/733,903.80 = 410,537.20/x
  3. Step 3: Cross multiply
    489,269.20x = 733,903.80 × 410,537.20
  4. Step 4: Simplify right side
    489,269.20x = 301,294,811,121.36
  5. Step 5: Solve for x
    x = 301,294,811,121.36/489,269.20
  6. Step 6: Final answer
    x = 615,805.80

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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.