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Finding the Fourth Proportional to 297,781.13, 410,938.02 and 163,645.13

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Solution

The fourth proportional to 297,781.13, 410,938.02 and 163,645.13 is: 225,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,781.13 : 410,938.02 = 163,645.13 : x
  2. Step 2: Convert to fraction form
    297,781.13/410,938.02 = 163,645.13/x
  3. Step 3: Cross multiply
    297,781.13x = 410,938.02 × 163,645.13
  4. Step 4: Simplify right side
    297,781.13x = 67,248,003,650.15
  5. Step 5: Solve for x
    x = 67,248,003,650.15/297,781.13
  6. Step 6: Final answer
    x = 225,830.31

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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.