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Finding the Fourth Proportional to 326,121.40, 489,182.10 and 208,023.40

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Solution

The fourth proportional to 326,121.40, 489,182.10 and 208,023.40 is: 312,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,121.40 : 489,182.10 = 208,023.40 : x
  2. Step 2: Convert to fraction form
    326,121.40/489,182.10 = 208,023.40/x
  3. Step 3: Cross multiply
    326,121.40x = 489,182.10 × 208,023.40
  4. Step 4: Simplify right side
    326,121.40x = 101,761,323,661.14
  5. Step 5: Solve for x
    x = 101,761,323,661.14/326,121.40
  6. Step 6: Final answer
    x = 312,035.10

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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.