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Finding the Fourth Proportional to 713,871.36, 984,977.28 and 427,282.56

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Solution

The fourth proportional to 713,871.36, 984,977.28 and 427,282.56 is: 589,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,871.36 : 984,977.28 = 427,282.56 : x
  2. Step 2: Convert to fraction form
    713,871.36/984,977.28 = 427,282.56/x
  3. Step 3: Cross multiply
    713,871.36x = 984,977.28 × 427,282.56
  4. Step 4: Simplify right side
    713,871.36x = 420,863,613,740.24
  5. Step 5: Solve for x
    x = 420,863,613,740.24/713,871.36
  6. Step 6: Final answer
    x = 589,551.06

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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.