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Finding the Fourth Proportional to 709,882.72, 979,522.61 and 419,453.90

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Solution

The fourth proportional to 709,882.72, 979,522.61 and 419,453.90 is: 578,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,882.72 : 979,522.61 = 419,453.90 : x
  2. Step 2: Convert to fraction form
    709,882.72/979,522.61 = 419,453.90/x
  3. Step 3: Cross multiply
    709,882.72x = 979,522.61 × 419,453.90
  4. Step 4: Simplify right side
    709,882.72x = 410,864,579,254.22
  5. Step 5: Solve for x
    x = 410,864,579,254.22/709,882.72
  6. Step 6: Final answer
    x = 578,778.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.