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Finding the Fourth Proportional to 358,467, 537,778.32 and 109,142.52

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Solution

The fourth proportional to 358,467, 537,778.32 and 109,142.52 is: 163,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,467 : 537,778.32 = 109,142.52 : x
  2. Step 2: Convert to fraction form
    358,467/537,778.32 = 109,142.52/x
  3. Step 3: Cross multiply
    358,467x = 537,778.32 × 109,142.52
  4. Step 4: Simplify right side
    358,467x = 58,694,481,046.17
  5. Step 5: Solve for x
    x = 58,694,481,046.17/358,467
  6. Step 6: Final answer
    x = 163,737.47

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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.