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Finding the Fourth Proportional to 277,020.80, 415,531.20 and 171,497.60

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Solution

The fourth proportional to 277,020.80, 415,531.20 and 171,497.60 is: 257,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,020.80 : 415,531.20 = 171,497.60 : x
  2. Step 2: Convert to fraction form
    277,020.80/415,531.20 = 171,497.60/x
  3. Step 3: Cross multiply
    277,020.80x = 415,531.20 × 171,497.60
  4. Step 4: Simplify right side
    277,020.80x = 71,262,603,525.12
  5. Step 5: Solve for x
    x = 71,262,603,525.12/277,020.80
  6. Step 6: Final answer
    x = 257,246.40

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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.