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Finding the Fourth Proportional to 829,993.28, 1,145,375.17 and 507,679.70

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Solution

The fourth proportional to 829,993.28, 1,145,375.17 and 507,679.70 is: 700,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,993.28 : 1,145,375.17 = 507,679.70 : x
  2. Step 2: Convert to fraction form
    829,993.28/1,145,375.17 = 507,679.70/x
  3. Step 3: Cross multiply
    829,993.28x = 1,145,375.17 × 507,679.70
  4. Step 4: Simplify right side
    829,993.28x = 581,483,715,696.97
  5. Step 5: Solve for x
    x = 581,483,715,696.97/829,993.28
  6. Step 6: Final answer
    x = 700,588.47

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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.