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Finding the Fourth Proportional to 326,188, 489,352.32 and 101,543.68

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Solution

The fourth proportional to 326,188, 489,352.32 and 101,543.68 is: 152,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,188 : 489,352.32 = 101,543.68 : x
  2. Step 2: Convert to fraction form
    326,188/489,352.32 = 101,543.68/x
  3. Step 3: Cross multiply
    326,188x = 489,352.32 × 101,543.68
  4. Step 4: Simplify right side
    326,188x = 49,690,635,389.34
  5. Step 5: Solve for x
    x = 49,690,635,389.34/326,188
  6. Step 6: Final answer
    x = 152,337.41

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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.