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Finding the Fourth Proportional to 523,019.50, 784,812.75 and 404,921.50

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Solution

The fourth proportional to 523,019.50, 784,812.75 and 404,921.50 is: 607,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,019.50 : 784,812.75 = 404,921.50 : x
  2. Step 2: Convert to fraction form
    523,019.50/784,812.75 = 404,921.50/x
  3. Step 3: Cross multiply
    523,019.50x = 784,812.75 × 404,921.50
  4. Step 4: Simplify right side
    523,019.50x = 317,787,555,949.13
  5. Step 5: Solve for x
    x = 317,787,555,949.13/523,019.50
  6. Step 6: Final answer
    x = 607,601.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.