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Finding the Fourth Proportional to 312,115.39, 430,673.06 and 189,544.03

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Solution

The fourth proportional to 312,115.39, 430,673.06 and 189,544.03 is: 261,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,115.39 : 430,673.06 = 189,544.03 : x
  2. Step 2: Convert to fraction form
    312,115.39/430,673.06 = 189,544.03/x
  3. Step 3: Cross multiply
    312,115.39x = 430,673.06 × 189,544.03
  4. Step 4: Simplify right side
    312,115.39x = 81,631,506,457.11
  5. Step 5: Solve for x
    x = 81,631,506,457.11/312,115.39
  6. Step 6: Final answer
    x = 261,542.71

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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.