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Finding the Fourth Proportional to 489,015.60, 732,648.60 and 413,782.80

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Solution

The fourth proportional to 489,015.60, 732,648.60 and 413,782.80 is: 619,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,015.60 : 732,648.60 = 413,782.80 : x
  2. Step 2: Convert to fraction form
    489,015.60/732,648.60 = 413,782.80/x
  3. Step 3: Cross multiply
    489,015.60x = 732,648.60 × 413,782.80
  4. Step 4: Simplify right side
    489,015.60x = 303,157,389,124.08
  5. Step 5: Solve for x
    x = 303,157,389,124.08/489,015.60
  6. Step 6: Final answer
    x = 619,933.98

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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.