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Finding the Fourth Proportional to 219,032.40, 328,548.60 and 71,288.40

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Solution

The fourth proportional to 219,032.40, 328,548.60 and 71,288.40 is: 106,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,032.40 : 328,548.60 = 71,288.40 : x
  2. Step 2: Convert to fraction form
    219,032.40/328,548.60 = 71,288.40/x
  3. Step 3: Cross multiply
    219,032.40x = 328,548.60 × 71,288.40
  4. Step 4: Simplify right side
    219,032.40x = 23,421,704,016.24
  5. Step 5: Solve for x
    x = 23,421,704,016.24/219,032.40
  6. Step 6: Final answer
    x = 106,932.60

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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.