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Finding the Fourth Proportional to 314,033.76, 470,979.90 and 89,389.23

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Solution

The fourth proportional to 314,033.76, 470,979.90 and 89,389.23 is: 134,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,033.76 : 470,979.90 = 89,389.23 : x
  2. Step 2: Convert to fraction form
    314,033.76/470,979.90 = 89,389.23/x
  3. Step 3: Cross multiply
    314,033.76x = 470,979.90 × 89,389.23
  4. Step 4: Simplify right side
    314,033.76x = 42,100,530,606.48
  5. Step 5: Solve for x
    x = 42,100,530,606.48/314,033.76
  6. Step 6: Final answer
    x = 134,063.71

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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.