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Finding the Fourth Proportional to 326,141.40, 489,212.10 and 208,043.40

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Solution

The fourth proportional to 326,141.40, 489,212.10 and 208,043.40 is: 312,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,141.40 : 489,212.10 = 208,043.40 : x
  2. Step 2: Convert to fraction form
    326,141.40/489,212.10 = 208,043.40/x
  3. Step 3: Cross multiply
    326,141.40x = 489,212.10 × 208,043.40
  4. Step 4: Simplify right side
    326,141.40x = 101,777,348,605.14
  5. Step 5: Solve for x
    x = 101,777,348,605.14/326,141.40
  6. Step 6: Final answer
    x = 312,065.10

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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.