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Finding the Fourth Proportional to 777,882, 1,167,019.80 and 216,916.56

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Solution

The fourth proportional to 777,882, 1,167,019.80 and 216,916.56 is: 325,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,882 : 1,167,019.80 = 216,916.56 : x
  2. Step 2: Convert to fraction form
    777,882/1,167,019.80 = 216,916.56/x
  3. Step 3: Cross multiply
    777,882x = 1,167,019.80 × 216,916.56
  4. Step 4: Simplify right side
    777,882x = 253,145,920,467.89
  5. Step 5: Solve for x
    x = 253,145,920,467.89/777,882
  6. Step 6: Final answer
    x = 325,429.72

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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.