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Finding the Fourth Proportional to 459,990.41, 690,083.91 and 140,167.81

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Solution

The fourth proportional to 459,990.41, 690,083.91 and 140,167.81 is: 210,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,990.41 : 690,083.91 = 140,167.81 : x
  2. Step 2: Convert to fraction form
    459,990.41/690,083.91 = 140,167.81/x
  3. Step 3: Cross multiply
    459,990.41x = 690,083.91 × 140,167.81
  4. Step 4: Simplify right side
    459,990.41x = 96,727,551,243.54
  5. Step 5: Solve for x
    x = 96,727,551,243.54/459,990.41
  6. Step 6: Final answer
    x = 210,281.67

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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.