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Finding the Fourth Proportional to 270,455.52, 405,809.64 and 120,680.16

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Solution

The fourth proportional to 270,455.52, 405,809.64 and 120,680.16 is: 181,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,455.52 : 405,809.64 = 120,680.16 : x
  2. Step 2: Convert to fraction form
    270,455.52/405,809.64 = 120,680.16/x
  3. Step 3: Cross multiply
    270,455.52x = 405,809.64 × 120,680.16
  4. Step 4: Simplify right side
    270,455.52x = 48,973,172,284.74
  5. Step 5: Solve for x
    x = 48,973,172,284.74/270,455.52
  6. Step 6: Final answer
    x = 181,076.62

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1.5x scale

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.