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Finding the Fourth Proportional to 340,398.34, 469,753.20 and 187,450.76

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Solution

The fourth proportional to 340,398.34, 469,753.20 and 187,450.76 is: 258,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,398.34 : 469,753.20 = 187,450.76 : x
  2. Step 2: Convert to fraction form
    340,398.34/469,753.20 = 187,450.76/x
  3. Step 3: Cross multiply
    340,398.34x = 469,753.20 × 187,450.76
  4. Step 4: Simplify right side
    340,398.34x = 88,055,594,352.43
  5. Step 5: Solve for x
    x = 88,055,594,352.43/340,398.34
  6. Step 6: Final answer
    x = 258,683.97

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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.