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Finding the Fourth Proportional to 285,709.92, 428,758.44 and 117,260.64

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Solution

The fourth proportional to 285,709.92, 428,758.44 and 117,260.64 is: 175,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,709.92 : 428,758.44 = 117,260.64 : x
  2. Step 2: Convert to fraction form
    285,709.92/428,758.44 = 117,260.64/x
  3. Step 3: Cross multiply
    285,709.92x = 428,758.44 × 117,260.64
  4. Step 4: Simplify right side
    285,709.92x = 50,276,489,079.80
  5. Step 5: Solve for x
    x = 50,276,489,079.80/285,709.92
  6. Step 6: Final answer
    x = 175,970.40

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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.