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Finding the Fourth Proportional to 285,873.68, 428,843.80 and 108,513.36

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Solution

The fourth proportional to 285,873.68, 428,843.80 and 108,513.36 is: 162,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,873.68 : 428,843.80 = 108,513.36 : x
  2. Step 2: Convert to fraction form
    285,873.68/428,843.80 = 108,513.36/x
  3. Step 3: Cross multiply
    285,873.68x = 428,843.80 × 108,513.36
  4. Step 4: Simplify right side
    285,873.68x = 46,535,281,653.17
  5. Step 5: Solve for x
    x = 46,535,281,653.17/285,873.68
  6. Step 6: Final answer
    x = 162,782.67

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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.