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Finding the Fourth Proportional to 698,466.87, 963,121.46 and 471,718.71

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Solution

The fourth proportional to 698,466.87, 963,121.46 and 471,718.71 is: 650,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,466.87 : 963,121.46 = 471,718.71 : x
  2. Step 2: Convert to fraction form
    698,466.87/963,121.46 = 471,718.71/x
  3. Step 3: Cross multiply
    698,466.87x = 963,121.46 × 471,718.71
  4. Step 4: Simplify right side
    698,466.87x = 454,322,410,325.92
  5. Step 5: Solve for x
    x = 454,322,410,325.92/698,466.87
  6. Step 6: Final answer
    x = 650,456.64

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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.