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Finding the Fourth Proportional to 326,981, 490,470.84 and 90,322.98

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Solution

The fourth proportional to 326,981, 490,470.84 and 90,322.98 is: 135,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,981 : 490,470.84 = 90,322.98 : x
  2. Step 2: Convert to fraction form
    326,981/490,470.84 = 90,322.98/x
  3. Step 3: Cross multiply
    326,981x = 490,470.84 × 90,322.98
  4. Step 4: Simplify right side
    326,981x = 44,300,787,871.90
  5. Step 5: Solve for x
    x = 44,300,787,871.90/326,981
  6. Step 6: Final answer
    x = 135,484.29

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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.