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Finding the Fourth Proportional to 512,522.40, 766,969.20 and 446,685.60

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Solution

The fourth proportional to 512,522.40, 766,969.20 and 446,685.60 is: 668,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,522.40 : 766,969.20 = 446,685.60 : x
  2. Step 2: Convert to fraction form
    512,522.40/766,969.20 = 446,685.60/x
  3. Step 3: Cross multiply
    512,522.40x = 766,969.20 × 446,685.60
  4. Step 4: Simplify right side
    512,522.40x = 342,594,097,283.52
  5. Step 5: Solve for x
    x = 342,594,097,283.52/512,522.40
  6. Step 6: Final answer
    x = 668,447.07

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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.