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Finding the Fourth Proportional to 469,744, 704,689.36 and 154,129.12

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Solution

The fourth proportional to 469,744, 704,689.36 and 154,129.12 is: 231,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,744 : 704,689.36 = 154,129.12 : x
  2. Step 2: Convert to fraction form
    469,744/704,689.36 = 154,129.12/x
  3. Step 3: Cross multiply
    469,744x = 704,689.36 × 154,129.12
  4. Step 4: Simplify right side
    469,744x = 108,613,150,930.16
  5. Step 5: Solve for x
    x = 108,613,150,930.16/469,744
  6. Step 6: Final answer
    x = 231,217.75

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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.