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Finding the Fourth Proportional to 715,391.99, 987,295.89 and 409,564.34

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Solution

The fourth proportional to 715,391.99, 987,295.89 and 409,564.34 is: 565,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,391.99 : 987,295.89 = 409,564.34 : x
  2. Step 2: Convert to fraction form
    715,391.99/987,295.89 = 409,564.34/x
  3. Step 3: Cross multiply
    715,391.99x = 987,295.89 × 409,564.34
  4. Step 4: Simplify right side
    715,391.99x = 404,361,184,636.08
  5. Step 5: Solve for x
    x = 404,361,184,636.08/715,391.99
  6. Step 6: Final answer
    x = 565,230.24

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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.