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Finding the Fourth Proportional to 326,146.91, 489,295.89 and 101,495.43

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Solution

The fourth proportional to 326,146.91, 489,295.89 and 101,495.43 is: 152,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,146.91 : 489,295.89 = 101,495.43 : x
  2. Step 2: Convert to fraction form
    326,146.91/489,295.89 = 101,495.43/x
  3. Step 3: Cross multiply
    326,146.91x = 489,295.89 × 101,495.43
  4. Step 4: Simplify right side
    326,146.91x = 49,661,296,752.78
  5. Step 5: Solve for x
    x = 49,661,296,752.78/326,146.91
  6. Step 6: Final answer
    x = 152,266.65

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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.