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Finding the Fourth Proportional to 292,446.90, 437,979.15 and 198,443.70

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Solution

The fourth proportional to 292,446.90, 437,979.15 and 198,443.70 is: 297,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,446.90 : 437,979.15 = 198,443.70 : x
  2. Step 2: Convert to fraction form
    292,446.90/437,979.15 = 198,443.70/x
  3. Step 3: Cross multiply
    292,446.90x = 437,979.15 × 198,443.70
  4. Step 4: Simplify right side
    292,446.90x = 86,914,203,048.86
  5. Step 5: Solve for x
    x = 86,914,203,048.86/292,446.90
  6. Step 6: Final answer
    x = 297,196.53

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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.