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Finding the Fourth Proportional to 340,166.34, 469,400.94 and 200,442.78

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Solution

The fourth proportional to 340,166.34, 469,400.94 and 200,442.78 is: 276,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,166.34 : 469,400.94 = 200,442.78 : x
  2. Step 2: Convert to fraction form
    340,166.34/469,400.94 = 200,442.78/x
  3. Step 3: Cross multiply
    340,166.34x = 469,400.94 × 200,442.78
  4. Step 4: Simplify right side
    340,166.34x = 94,088,029,348.21
  5. Step 5: Solve for x
    x = 94,088,029,348.21/340,166.34
  6. Step 6: Final answer
    x = 276,594.18

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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.