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Finding the Fourth Proportional to 315,729.28, 435,707.94 and 172,491.67

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Solution

The fourth proportional to 315,729.28, 435,707.94 and 172,491.67 is: 238,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,729.28 : 435,707.94 = 172,491.67 : x
  2. Step 2: Convert to fraction form
    315,729.28/435,707.94 = 172,491.67/x
  3. Step 3: Cross multiply
    315,729.28x = 435,707.94 × 172,491.67
  4. Step 4: Simplify right side
    315,729.28x = 75,155,990,202.86
  5. Step 5: Solve for x
    x = 75,155,990,202.86/315,729.28
  6. Step 6: Final answer
    x = 238,039.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.