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Finding the Fourth Proportional to 709,500.24, 978,672.45 and 505,616.49

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Solution

The fourth proportional to 709,500.24, 978,672.45 and 505,616.49 is: 697,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,500.24 : 978,672.45 = 505,616.49 : x
  2. Step 2: Convert to fraction form
    709,500.24/978,672.45 = 505,616.49/x
  3. Step 3: Cross multiply
    709,500.24x = 978,672.45 × 505,616.49
  4. Step 4: Simplify right side
    709,500.24x = 494,832,929,028.70
  5. Step 5: Solve for x
    x = 494,832,929,028.70/709,500.24
  6. Step 6: Final answer
    x = 697,438.71

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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.