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Finding the Fourth Proportional to 713,701.71, 984,817.27 and 407,797.90

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Solution

The fourth proportional to 713,701.71, 984,817.27 and 407,797.90 is: 562,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,701.71 : 984,817.27 = 407,797.90 : x
  2. Step 2: Convert to fraction form
    713,701.71/984,817.27 = 407,797.90/x
  3. Step 3: Cross multiply
    713,701.71x = 984,817.27 × 407,797.90
  4. Step 4: Simplify right side
    713,701.71x = 401,606,415,883.17
  5. Step 5: Solve for x
    x = 401,606,415,883.17/713,701.71
  6. Step 6: Final answer
    x = 562,709.06

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1.5x scale

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.