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Finding the Fourth Proportional to 312,807.92, 468,861.94 and 135,048.56

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Solution

The fourth proportional to 312,807.92, 468,861.94 and 135,048.56 is: 202,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,807.92 : 468,861.94 = 135,048.56 : x
  2. Step 2: Convert to fraction form
    312,807.92/468,861.94 = 135,048.56/x
  3. Step 3: Cross multiply
    312,807.92x = 468,861.94 × 135,048.56
  4. Step 4: Simplify right side
    312,807.92x = 63,319,129,835.81
  5. Step 5: Solve for x
    x = 63,319,129,835.81/312,807.92
  6. Step 6: Final answer
    x = 202,421.76

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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.