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Finding the Fourth Proportional to 304,499.64, 420,181 and 181,967.68

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Solution

The fourth proportional to 304,499.64, 420,181 and 181,967.68 is: 251,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,499.64 : 420,181 = 181,967.68 : x
  2. Step 2: Convert to fraction form
    304,499.64/420,181 = 181,967.68/x
  3. Step 3: Cross multiply
    304,499.64x = 420,181 × 181,967.68
  4. Step 4: Simplify right side
    304,499.64x = 76,459,361,750.08
  5. Step 5: Solve for x
    x = 76,459,361,750.08/304,499.64
  6. Step 6: Final answer
    x = 251,098.37

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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.