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Finding the Fourth Proportional to 205,014.80, 307,522.20 and 149,027.60

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Solution

The fourth proportional to 205,014.80, 307,522.20 and 149,027.60 is: 223,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,014.80 : 307,522.20 = 149,027.60 : x
  2. Step 2: Convert to fraction form
    205,014.80/307,522.20 = 149,027.60/x
  3. Step 3: Cross multiply
    205,014.80x = 307,522.20 × 149,027.60
  4. Step 4: Simplify right side
    205,014.80x = 45,829,295,412.72
  5. Step 5: Solve for x
    x = 45,829,295,412.72/205,014.80
  6. Step 6: Final answer
    x = 223,541.40

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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.