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Finding the Fourth Proportional to 205,675.20, 308,499.84 and 65,534.40

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Solution

The fourth proportional to 205,675.20, 308,499.84 and 65,534.40 is: 98,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,675.20 : 308,499.84 = 65,534.40 : x
  2. Step 2: Convert to fraction form
    205,675.20/308,499.84 = 65,534.40/x
  3. Step 3: Cross multiply
    205,675.20x = 308,499.84 × 65,534.40
  4. Step 4: Simplify right side
    205,675.20x = 20,217,351,914.50
  5. Step 5: Solve for x
    x = 20,217,351,914.50/205,675.20
  6. Step 6: Final answer
    x = 98,297.47

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1.5x scale

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.