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Finding the Fourth Proportional to 489,200.40, 732,893.40 and 278,211.60

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Solution

The fourth proportional to 489,200.40, 732,893.40 and 278,211.60 is: 416,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,200.40 : 732,893.40 = 278,211.60 : x
  2. Step 2: Convert to fraction form
    489,200.40/732,893.40 = 278,211.60/x
  3. Step 3: Cross multiply
    489,200.40x = 732,893.40 × 278,211.60
  4. Step 4: Simplify right side
    489,200.40x = 203,899,445,443.44
  5. Step 5: Solve for x
    x = 203,899,445,443.44/489,200.40
  6. Step 6: Final answer
    x = 416,801.47

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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.