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Finding the Fourth Proportional to 713,709.72, 984,947.76 and 391,431.42

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Solution

The fourth proportional to 713,709.72, 984,947.76 and 391,431.42 is: 540,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,709.72 : 984,947.76 = 391,431.42 : x
  2. Step 2: Convert to fraction form
    713,709.72/984,947.76 = 391,431.42/x
  3. Step 3: Cross multiply
    713,709.72x = 984,947.76 × 391,431.42
  4. Step 4: Simplify right side
    713,709.72x = 385,539,500,322.62
  5. Step 5: Solve for x
    x = 385,539,500,322.62/713,709.72
  6. Step 6: Final answer
    x = 540,190.91

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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.