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Finding the Fourth Proportional to 326,057.41, 489,023.84 and 101,420.56

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Solution

The fourth proportional to 326,057.41, 489,023.84 and 101,420.56 is: 152,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,057.41 : 489,023.84 = 101,420.56 : x
  2. Step 2: Convert to fraction form
    326,057.41/489,023.84 = 101,420.56/x
  3. Step 3: Cross multiply
    326,057.41x = 489,023.84 × 101,420.56
  4. Step 4: Simplify right side
    326,057.41x = 49,597,071,706.15
  5. Step 5: Solve for x
    x = 49,597,071,706.15/326,057.41
  6. Step 6: Final answer
    x = 152,111.47

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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.