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Finding the Fourth Proportional to 326,383.84, 489,109.20 and 185,852.08

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Solution

The fourth proportional to 326,383.84, 489,109.20 and 185,852.08 is: 278,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,383.84 : 489,109.20 = 185,852.08 : x
  2. Step 2: Convert to fraction form
    326,383.84/489,109.20 = 185,852.08/x
  3. Step 3: Cross multiply
    326,383.84x = 489,109.20 × 185,852.08
  4. Step 4: Simplify right side
    326,383.84x = 90,901,962,167.14
  5. Step 5: Solve for x
    x = 90,901,962,167.14/326,383.84
  6. Step 6: Final answer
    x = 278,512.45

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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.