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Finding the Fourth Proportional to 340,589.40, 510,946.20 and 115,939.14

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Solution

The fourth proportional to 340,589.40, 510,946.20 and 115,939.14 is: 173,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,589.40 : 510,946.20 = 115,939.14 : x
  2. Step 2: Convert to fraction form
    340,589.40/510,946.20 = 115,939.14/x
  3. Step 3: Cross multiply
    340,589.40x = 510,946.20 × 115,939.14
  4. Step 4: Simplify right side
    340,589.40x = 59,238,663,014.27
  5. Step 5: Solve for x
    x = 59,238,663,014.27/340,589.40
  6. Step 6: Final answer
    x = 173,929.85

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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.