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Finding the Fourth Proportional to 219,615.10, 329,422.65 and 130,822.90

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Solution

The fourth proportional to 219,615.10, 329,422.65 and 130,822.90 is: 196,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,615.10 : 329,422.65 = 130,822.90 : x
  2. Step 2: Convert to fraction form
    219,615.10/329,422.65 = 130,822.90/x
  3. Step 3: Cross multiply
    219,615.10x = 329,422.65 × 130,822.90
  4. Step 4: Simplify right side
    219,615.10x = 43,096,026,398.69
  5. Step 5: Solve for x
    x = 43,096,026,398.69/219,615.10
  6. Step 6: Final answer
    x = 196,234.35

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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.