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Finding the Fourth Proportional to 270,695.61, 405,815.04 and 170,635.20

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Solution

The fourth proportional to 270,695.61, 405,815.04 and 170,635.20 is: 255,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,695.61 : 405,815.04 = 170,635.20 : x
  2. Step 2: Convert to fraction form
    270,695.61/405,815.04 = 170,635.20/x
  3. Step 3: Cross multiply
    270,695.61x = 405,815.04 × 170,635.20
  4. Step 4: Simplify right side
    270,695.61x = 69,246,330,513.41
  5. Step 5: Solve for x
    x = 69,246,330,513.41/270,695.61
  6. Step 6: Final answer
    x = 255,808.84

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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.