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Finding the Fourth Proportional to 274,521.60, 411,782.40 and 97,027.20

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Solution

The fourth proportional to 274,521.60, 411,782.40 and 97,027.20 is: 145,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,521.60 : 411,782.40 = 97,027.20 : x
  2. Step 2: Convert to fraction form
    274,521.60/411,782.40 = 97,027.20/x
  3. Step 3: Cross multiply
    274,521.60x = 411,782.40 × 97,027.20
  4. Step 4: Simplify right side
    274,521.60x = 39,954,093,281.28
  5. Step 5: Solve for x
    x = 39,954,093,281.28/274,521.60
  6. Step 6: Final answer
    x = 145,540.80

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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.