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Finding the Fourth Proportional to 219,291, 328,938.12 and 53,079

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Solution

The fourth proportional to 219,291, 328,938.12 and 53,079 is: 79,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,291 : 328,938.12 = 53,079 : x
  2. Step 2: Convert to fraction form
    219,291/328,938.12 = 53,079/x
  3. Step 3: Cross multiply
    219,291x = 328,938.12 × 53,079
  4. Step 4: Simplify right side
    219,291x = 17,459,706,471.48
  5. Step 5: Solve for x
    x = 17,459,706,471.48/219,291
  6. Step 6: Final answer
    x = 79,618.89

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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.