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Finding the Fourth Proportional to 219,324.66, 328,988.91 and 53,112.82

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Solution

The fourth proportional to 219,324.66, 328,988.91 and 53,112.82 is: 79,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,324.66 : 328,988.91 = 53,112.82 : x
  2. Step 2: Convert to fraction form
    219,324.66/328,988.91 = 53,112.82/x
  3. Step 3: Cross multiply
    219,324.66x = 328,988.91 × 53,112.82
  4. Step 4: Simplify right side
    219,324.66x = 17,473,528,758.83
  5. Step 5: Solve for x
    x = 17,473,528,758.83/219,324.66
  6. Step 6: Final answer
    x = 79,669.69

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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.