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Finding the Fourth Proportional to 354,122.69, 531,315.25 and 164,684.75

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Solution

The fourth proportional to 354,122.69, 531,315.25 and 164,684.75 is: 247,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,122.69 : 531,315.25 = 164,684.75 : x
  2. Step 2: Convert to fraction form
    354,122.69/531,315.25 = 164,684.75/x
  3. Step 3: Cross multiply
    354,122.69x = 531,315.25 × 164,684.75
  4. Step 4: Simplify right side
    354,122.69x = 87,499,516,049.15
  5. Step 5: Solve for x
    x = 87,499,516,049.15/354,122.69
  6. Step 6: Final answer
    x = 247,088.14

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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.