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Finding the Fourth Proportional to 685,491.24, 945,684.80 and 413,404.42

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Solution

The fourth proportional to 685,491.24, 945,684.80 and 413,404.42 is: 570,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,491.24 : 945,684.80 = 413,404.42 : x
  2. Step 2: Convert to fraction form
    685,491.24/945,684.80 = 413,404.42/x
  3. Step 3: Cross multiply
    685,491.24x = 945,684.80 × 413,404.42
  4. Step 4: Simplify right side
    685,491.24x = 390,950,276,246.82
  5. Step 5: Solve for x
    x = 390,950,276,246.82/685,491.24
  6. Step 6: Final answer
    x = 570,321.33

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1.5x scale

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.