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Finding the Fourth Proportional to 462,367.51, 693,429.72 and 138,078.66

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Solution

The fourth proportional to 462,367.51, 693,429.72 and 138,078.66 is: 207,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,367.51 : 693,429.72 = 138,078.66 : x
  2. Step 2: Convert to fraction form
    462,367.51/693,429.72 = 138,078.66/x
  3. Step 3: Cross multiply
    462,367.51x = 693,429.72 × 138,078.66
  4. Step 4: Simplify right side
    462,367.51x = 95,747,843,358.18
  5. Step 5: Solve for x
    x = 95,747,843,358.18/462,367.51
  6. Step 6: Final answer
    x = 207,081.69

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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.