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Finding the Fourth Proportional to 393,040.81, 589,685.82 and 140,315.87

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Solution

The fourth proportional to 393,040.81, 589,685.82 and 140,315.87 is: 210,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,040.81 : 589,685.82 = 140,315.87 : x
  2. Step 2: Convert to fraction form
    393,040.81/589,685.82 = 140,315.87/x
  3. Step 3: Cross multiply
    393,040.81x = 589,685.82 × 140,315.87
  4. Step 4: Simplify right side
    393,040.81x = 82,742,278,938.78
  5. Step 5: Solve for x
    x = 82,742,278,938.78/393,040.81
  6. Step 6: Final answer
    x = 210,518.29

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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.