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Finding the Fourth Proportional to 285,914.80, 428,293.86 and 136,300.24

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Solution

The fourth proportional to 285,914.80, 428,293.86 and 136,300.24 is: 204,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,914.80 : 428,293.86 = 136,300.24 : x
  2. Step 2: Convert to fraction form
    285,914.80/428,293.86 = 136,300.24/x
  3. Step 3: Cross multiply
    285,914.80x = 428,293.86 × 136,300.24
  4. Step 4: Simplify right side
    285,914.80x = 58,376,555,908.53
  5. Step 5: Solve for x
    x = 58,376,555,908.53/285,914.80
  6. Step 6: Final answer
    x = 204,174.66

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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.