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Finding the Fourth Proportional to 522,810.40, 784,993.20 and 404,615.20

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Solution

The fourth proportional to 522,810.40, 784,993.20 and 404,615.20 is: 607,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,810.40 : 784,993.20 = 404,615.20 : x
  2. Step 2: Convert to fraction form
    522,810.40/784,993.20 = 404,615.20/x
  3. Step 3: Cross multiply
    522,810.40x = 784,993.20 × 404,615.20
  4. Step 4: Simplify right side
    522,810.40x = 317,620,180,616.64
  5. Step 5: Solve for x
    x = 317,620,180,616.64/522,810.40
  6. Step 6: Final answer
    x = 607,524.60

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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.