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Finding the Fourth Proportional to 325,842.20, 489,200.70 and 208,035.80

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Solution

The fourth proportional to 325,842.20, 489,200.70 and 208,035.80 is: 312,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,842.20 : 489,200.70 = 208,035.80 : x
  2. Step 2: Convert to fraction form
    325,842.20/489,200.70 = 208,035.80/x
  3. Step 3: Cross multiply
    325,842.20x = 489,200.70 × 208,035.80
  4. Step 4: Simplify right side
    325,842.20x = 101,771,258,985.06
  5. Step 5: Solve for x
    x = 101,771,258,985.06/325,842.20
  6. Step 6: Final answer
    x = 312,332.96

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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.