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Finding the Fourth Proportional to 326,527.10, 489,185.85 and 185,867.90

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Solution

The fourth proportional to 326,527.10, 489,185.85 and 185,867.90 is: 278,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,527.10 : 489,185.85 = 185,867.90 : x
  2. Step 2: Convert to fraction form
    326,527.10/489,185.85 = 185,867.90/x
  3. Step 3: Cross multiply
    326,527.10x = 489,185.85 × 185,867.90
  4. Step 4: Simplify right side
    326,527.10x = 90,923,946,649.22
  5. Step 5: Solve for x
    x = 90,923,946,649.22/326,527.10
  6. Step 6: Final answer
    x = 278,457.58

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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.