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Finding the Fourth Proportional to 640,858.62, 960,447 and 471,586.35

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Solution

The fourth proportional to 640,858.62, 960,447 and 471,586.35 is: 706,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,858.62 : 960,447 = 471,586.35 : x
  2. Step 2: Convert to fraction form
    640,858.62/960,447 = 471,586.35/x
  3. Step 3: Cross multiply
    640,858.62x = 960,447 × 471,586.35
  4. Step 4: Simplify right side
    640,858.62x = 452,933,695,098.45
  5. Step 5: Solve for x
    x = 452,933,695,098.45/640,858.62
  6. Step 6: Final answer
    x = 706,760.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.