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Finding the Fourth Proportional to 313,689.57, 470,269.77 and 136,062.78

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Solution

The fourth proportional to 313,689.57, 470,269.77 and 136,062.78 is: 203,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,689.57 : 470,269.77 = 136,062.78 : x
  2. Step 2: Convert to fraction form
    313,689.57/470,269.77 = 136,062.78/x
  3. Step 3: Cross multiply
    313,689.57x = 470,269.77 × 136,062.78
  4. Step 4: Simplify right side
    313,689.57x = 63,986,212,256.16
  5. Step 5: Solve for x
    x = 63,986,212,256.16/313,689.57
  6. Step 6: Final answer
    x = 203,979.41

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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.