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Finding the Fourth Proportional to 205,419.80, 308,129.70 and 188,312.60

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Solution

The fourth proportional to 205,419.80, 308,129.70 and 188,312.60 is: 282,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,419.80 : 308,129.70 = 188,312.60 : x
  2. Step 2: Convert to fraction form
    205,419.80/308,129.70 = 188,312.60/x
  3. Step 3: Cross multiply
    205,419.80x = 308,129.70 × 188,312.60
  4. Step 4: Simplify right side
    205,419.80x = 58,024,704,944.22
  5. Step 5: Solve for x
    x = 58,024,704,944.22/205,419.80
  6. Step 6: Final answer
    x = 282,468.90

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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.