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Finding the Fourth Proportional to 324,118.92, 486,178.38 and 87,461.58

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Solution

The fourth proportional to 324,118.92, 486,178.38 and 87,461.58 is: 131,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,118.92 : 486,178.38 = 87,461.58 : x
  2. Step 2: Convert to fraction form
    324,118.92/486,178.38 = 87,461.58/x
  3. Step 3: Cross multiply
    324,118.92x = 486,178.38 × 87,461.58
  4. Step 4: Simplify right side
    324,118.92x = 42,521,929,276.64
  5. Step 5: Solve for x
    x = 42,521,929,276.64/324,118.92
  6. Step 6: Final answer
    x = 131,192.37

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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.