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Finding the Fourth Proportional to 285,752.80, 428,467.20 and 108,265.60

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Solution

The fourth proportional to 285,752.80, 428,467.20 and 108,265.60 is: 162,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,752.80 : 428,467.20 = 108,265.60 : x
  2. Step 2: Convert to fraction form
    285,752.80/428,467.20 = 108,265.60/x
  3. Step 3: Cross multiply
    285,752.80x = 428,467.20 × 108,265.60
  4. Step 4: Simplify right side
    285,752.80x = 46,388,258,488.32
  5. Step 5: Solve for x
    x = 46,388,258,488.32/285,752.80
  6. Step 6: Final answer
    x = 162,337.02

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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.