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Finding the Fourth Proportional to 313,628.48, 470,405.96 and 89,008.64

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Solution

The fourth proportional to 313,628.48, 470,405.96 and 89,008.64 is: 133,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,628.48 : 470,405.96 = 89,008.64 : x
  2. Step 2: Convert to fraction form
    313,628.48/470,405.96 = 89,008.64/x
  3. Step 3: Cross multiply
    313,628.48x = 470,405.96 × 89,008.64
  4. Step 4: Simplify right side
    313,628.48x = 41,870,194,747.49
  5. Step 5: Solve for x
    x = 41,870,194,747.49/313,628.48
  6. Step 6: Final answer
    x = 133,502.53

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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.