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Finding the Fourth Proportional to 340,411.11, 510,468.89 and 115,711.13

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Solution

The fourth proportional to 340,411.11, 510,468.89 and 115,711.13 is: 173,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,411.11 : 510,468.89 = 115,711.13 : x
  2. Step 2: Convert to fraction form
    340,411.11/510,468.89 = 115,711.13/x
  3. Step 3: Cross multiply
    340,411.11x = 510,468.89 × 115,711.13
  4. Step 4: Simplify right side
    340,411.11x = 59,066,932,789.36
  5. Step 5: Solve for x
    x = 59,066,932,789.36/340,411.11
  6. Step 6: Final answer
    x = 173,516.47

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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.