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Finding the Fourth Proportional to 709,515.99, 978,694.20 and 505,632.24

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Solution

The fourth proportional to 709,515.99, 978,694.20 and 505,632.24 is: 697,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,515.99 : 978,694.20 = 505,632.24 : x
  2. Step 2: Convert to fraction form
    709,515.99/978,694.20 = 505,632.24/x
  3. Step 3: Cross multiply
    709,515.99x = 978,694.20 × 505,632.24
  4. Step 4: Simplify right side
    709,515.99x = 494,859,340,621.01
  5. Step 5: Solve for x
    x = 494,859,340,621.01/709,515.99
  6. Step 6: Final answer
    x = 697,460.45

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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.