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Finding the Fourth Proportional to 285,648.32, 428,509.72 and 105,709.24

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Solution

The fourth proportional to 285,648.32, 428,509.72 and 105,709.24 is: 158,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,648.32 : 428,509.72 = 105,709.24 : x
  2. Step 2: Convert to fraction form
    285,648.32/428,509.72 = 105,709.24/x
  3. Step 3: Cross multiply
    285,648.32x = 428,509.72 × 105,709.24
  4. Step 4: Simplify right side
    285,648.32x = 45,297,436,833.81
  5. Step 5: Solve for x
    x = 45,297,436,833.81/285,648.32
  6. Step 6: Final answer
    x = 158,577.64

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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.