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Finding the Fourth Proportional to 340,614.78, 470,062.92 and 189,711.78

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Solution

The fourth proportional to 340,614.78, 470,062.92 and 189,711.78 is: 261,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,614.78 : 470,062.92 = 189,711.78 : x
  2. Step 2: Convert to fraction form
    340,614.78/470,062.92 = 189,711.78/x
  3. Step 3: Cross multiply
    340,614.78x = 470,062.92 × 189,711.78
  4. Step 4: Simplify right side
    340,614.78x = 89,176,473,265.20
  5. Step 5: Solve for x
    x = 89,176,473,265.20/340,614.78
  6. Step 6: Final answer
    x = 261,810.35

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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.