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Finding the Fourth Proportional to 304,057.40, 456,086.10 and 178,086.20

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Solution

The fourth proportional to 304,057.40, 456,086.10 and 178,086.20 is: 267,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,057.40 : 456,086.10 = 178,086.20 : x
  2. Step 2: Convert to fraction form
    304,057.40/456,086.10 = 178,086.20/x
  3. Step 3: Cross multiply
    304,057.40x = 456,086.10 × 178,086.20
  4. Step 4: Simplify right side
    304,057.40x = 81,222,640,421.82
  5. Step 5: Solve for x
    x = 81,222,640,421.82/304,057.40
  6. Step 6: Final answer
    x = 267,129.30

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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.