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Finding the Fourth Proportional to 324,246, 486,371.16 and 102,630

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Solution

The fourth proportional to 324,246, 486,371.16 and 102,630 is: 153,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,246 : 486,371.16 = 102,630 : x
  2. Step 2: Convert to fraction form
    324,246/486,371.16 = 102,630/x
  3. Step 3: Cross multiply
    324,246x = 486,371.16 × 102,630
  4. Step 4: Simplify right side
    324,246x = 49,916,272,150.80
  5. Step 5: Solve for x
    x = 49,916,272,150.80/324,246
  6. Step 6: Final answer
    x = 153,945.68

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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.