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Finding the Fourth Proportional to 713,660.31, 984,760.47 and 407,756.50

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Solution

The fourth proportional to 713,660.31, 984,760.47 and 407,756.50 is: 562,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,660.31 : 984,760.47 = 407,756.50 : x
  2. Step 2: Convert to fraction form
    713,660.31/984,760.47 = 407,756.50/x
  3. Step 3: Cross multiply
    713,660.31x = 984,760.47 × 407,756.50
  4. Step 4: Simplify right side
    713,660.31x = 401,542,482,585.56
  5. Step 5: Solve for x
    x = 401,542,482,585.56/713,660.31
  6. Step 6: Final answer
    x = 562,652.11

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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.