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Finding the Fourth Proportional to 640,440.16, 960,992.54 and 285,371.60

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Solution

The fourth proportional to 640,440.16, 960,992.54 and 285,371.60 is: 428,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,440.16 : 960,992.54 = 285,371.60 : x
  2. Step 2: Convert to fraction form
    640,440.16/960,992.54 = 285,371.60/x
  3. Step 3: Cross multiply
    640,440.16x = 960,992.54 × 285,371.60
  4. Step 4: Simplify right side
    640,440.16x = 274,239,973,922.90
  5. Step 5: Solve for x
    x = 274,239,973,922.90/640,440.16
  6. Step 6: Final answer
    x = 428,205.46

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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.