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Finding the Fourth Proportional to 687,975.96, 949,856.46 and 446,945.48

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Solution

The fourth proportional to 687,975.96, 949,856.46 and 446,945.48 is: 617,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,975.96 : 949,856.46 = 446,945.48 : x
  2. Step 2: Convert to fraction form
    687,975.96/949,856.46 = 446,945.48/x
  3. Step 3: Cross multiply
    687,975.96x = 949,856.46 × 446,945.48
  4. Step 4: Simplify right side
    687,975.96x = 424,534,051,445.80
  5. Step 5: Solve for x
    x = 424,534,051,445.80/687,975.96
  6. Step 6: Final answer
    x = 617,076.87

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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.