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Finding the Fourth Proportional to 653,800.46, 982,176.93 and 387,735.48

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Solution

The fourth proportional to 653,800.46, 982,176.93 and 387,735.48 is: 582,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,800.46 : 982,176.93 = 387,735.48 : x
  2. Step 2: Convert to fraction form
    653,800.46/982,176.93 = 387,735.48/x
  3. Step 3: Cross multiply
    653,800.46x = 982,176.93 × 387,735.48
  4. Step 4: Simplify right side
    653,800.46x = 380,824,843,398.48
  5. Step 5: Solve for x
    x = 380,824,843,398.48/653,800.46
  6. Step 6: Final answer
    x = 582,478.71

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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.