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Finding the Fourth Proportional to 219,431.40, 329,147.12 and 53,219.40

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Solution

The fourth proportional to 219,431.40, 329,147.12 and 53,219.40 is: 79,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,431.40 : 329,147.12 = 53,219.40 : x
  2. Step 2: Convert to fraction form
    219,431.40/329,147.12 = 53,219.40/x
  3. Step 3: Cross multiply
    219,431.40x = 329,147.12 × 53,219.40
  4. Step 4: Simplify right side
    219,431.40x = 17,517,012,238.13
  5. Step 5: Solve for x
    x = 17,517,012,238.13/219,431.40
  6. Step 6: Final answer
    x = 79,829.10

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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.