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Finding the Fourth Proportional to 219,134.36, 328,825.47 and 119,301.46

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Solution

The fourth proportional to 219,134.36, 328,825.47 and 119,301.46 is: 179,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,134.36 : 328,825.47 = 119,301.46 : x
  2. Step 2: Convert to fraction form
    219,134.36/328,825.47 = 119,301.46/x
  3. Step 3: Cross multiply
    219,134.36x = 328,825.47 × 119,301.46
  4. Step 4: Simplify right side
    219,134.36x = 39,229,358,281.50
  5. Step 5: Solve for x
    x = 39,229,358,281.50/219,134.36
  6. Step 6: Final answer
    x = 179,019.66

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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.