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Finding the Fourth Proportional to 205,054.20, 307,581.30 and 189,307.80

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Solution

The fourth proportional to 205,054.20, 307,581.30 and 189,307.80 is: 283,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,054.20 : 307,581.30 = 189,307.80 : x
  2. Step 2: Convert to fraction form
    205,054.20/307,581.30 = 189,307.80/x
  3. Step 3: Cross multiply
    205,054.20x = 307,581.30 × 189,307.80
  4. Step 4: Simplify right side
    205,054.20x = 58,227,539,224.14
  5. Step 5: Solve for x
    x = 58,227,539,224.14/205,054.20
  6. Step 6: Final answer
    x = 283,961.70

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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.