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Finding the Fourth Proportional to 228,622.91, 315,653.66 and 142,712.69

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Solution

The fourth proportional to 228,622.91, 315,653.66 and 142,712.69 is: 197,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,622.91 : 315,653.66 = 142,712.69 : x
  2. Step 2: Convert to fraction form
    228,622.91/315,653.66 = 142,712.69/x
  3. Step 3: Cross multiply
    228,622.91x = 315,653.66 × 142,712.69
  4. Step 4: Simplify right side
    228,622.91x = 45,047,780,635.11
  5. Step 5: Solve for x
    x = 45,047,780,635.11/228,622.91
  6. Step 6: Final answer
    x = 197,039.67

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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.