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Finding the Fourth Proportional to 340,883.68, 470,398.24 and 187,913.92

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Solution

The fourth proportional to 340,883.68, 470,398.24 and 187,913.92 is: 259,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,883.68 : 470,398.24 = 187,913.92 : x
  2. Step 2: Convert to fraction form
    340,883.68/470,398.24 = 187,913.92/x
  3. Step 3: Cross multiply
    340,883.68x = 470,398.24 × 187,913.92
  4. Step 4: Simplify right side
    340,883.68x = 88,394,377,239.50
  5. Step 5: Solve for x
    x = 88,394,377,239.50/340,883.68
  6. Step 6: Final answer
    x = 259,309.50

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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.