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Finding the Fourth Proportional to 489,114.40, 732,764.40 and 278,125.60

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Solution

The fourth proportional to 489,114.40, 732,764.40 and 278,125.60 is: 416,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,114.40 : 732,764.40 = 278,125.60 : x
  2. Step 2: Convert to fraction form
    489,114.40/732,764.40 = 278,125.60/x
  3. Step 3: Cross multiply
    489,114.40x = 732,764.40 × 278,125.60
  4. Step 4: Simplify right side
    489,114.40x = 203,800,538,408.64
  5. Step 5: Solve for x
    x = 203,800,538,408.64/489,114.40
  6. Step 6: Final answer
    x = 416,672.54

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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.