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Finding the Fourth Proportional to 285,078.60, 393,445.80 and 164,200.68

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Solution

The fourth proportional to 285,078.60, 393,445.80 and 164,200.68 is: 226,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,078.60 : 393,445.80 = 164,200.68 : x
  2. Step 2: Convert to fraction form
    285,078.60/393,445.80 = 164,200.68/x
  3. Step 3: Cross multiply
    285,078.60x = 393,445.80 × 164,200.68
  4. Step 4: Simplify right side
    285,078.60x = 64,604,067,903.14
  5. Step 5: Solve for x
    x = 64,604,067,903.14/285,078.60
  6. Step 6: Final answer
    x = 226,618.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.