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Finding the Fourth Proportional to 713,794.56, 985,118.78 and 427,314.60

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Solution

The fourth proportional to 713,794.56, 985,118.78 and 427,314.60 is: 589,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,794.56 : 985,118.78 = 427,314.60 : x
  2. Step 2: Convert to fraction form
    713,794.56/985,118.78 = 427,314.60/x
  3. Step 3: Cross multiply
    713,794.56x = 985,118.78 × 427,314.60
  4. Step 4: Simplify right side
    713,794.56x = 420,955,637,428.19
  5. Step 5: Solve for x
    x = 420,955,637,428.19/713,794.56
  6. Step 6: Final answer
    x = 589,743.41

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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.