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Finding the Fourth Proportional to 326,965.16, 489,990.97 and 158,440.78

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Solution

The fourth proportional to 326,965.16, 489,990.97 and 158,440.78 is: 237,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,965.16 : 489,990.97 = 158,440.78 : x
  2. Step 2: Convert to fraction form
    326,965.16/489,990.97 = 158,440.78/x
  3. Step 3: Cross multiply
    326,965.16x = 489,990.97 × 158,440.78
  4. Step 4: Simplify right side
    326,965.16x = 77,634,553,668.40
  5. Step 5: Solve for x
    x = 77,634,553,668.40/326,965.16
  6. Step 6: Final answer
    x = 237,439.84

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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.