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Finding the Fourth Proportional to 304,919.43, 457,296.53 and 127,389.30

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Solution

The fourth proportional to 304,919.43, 457,296.53 and 127,389.30 is: 191,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,919.43 : 457,296.53 = 127,389.30 : x
  2. Step 2: Convert to fraction form
    304,919.43/457,296.53 = 127,389.30/x
  3. Step 3: Cross multiply
    304,919.43x = 457,296.53 × 127,389.30
  4. Step 4: Simplify right side
    304,919.43x = 58,254,684,212.18
  5. Step 5: Solve for x
    x = 58,254,684,212.18/304,919.43
  6. Step 6: Final answer
    x = 191,049.43

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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.