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Finding the Fourth Proportional to 713,522.28, 984,690.90 and 407,649

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Solution

The fourth proportional to 713,522.28, 984,690.90 and 407,649 is: 562,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,522.28 : 984,690.90 = 407,649 : x
  2. Step 2: Convert to fraction form
    713,522.28/984,690.90 = 407,649/x
  3. Step 3: Cross multiply
    713,522.28x = 984,690.90 × 407,649
  4. Step 4: Simplify right side
    713,522.28x = 401,408,260,694.10
  5. Step 5: Solve for x
    x = 401,408,260,694.10/713,522.28
  6. Step 6: Final answer
    x = 562,572.85

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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.