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Finding the Fourth Proportional to 512,465.40, 766,883.70 and 446,628.60

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Solution

The fourth proportional to 512,465.40, 766,883.70 and 446,628.60 is: 668,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,465.40 : 766,883.70 = 446,628.60 : x
  2. Step 2: Convert to fraction form
    512,465.40/766,883.70 = 446,628.60/x
  3. Step 3: Cross multiply
    512,465.40x = 766,883.70 × 446,628.60
  4. Step 4: Simplify right side
    512,465.40x = 342,512,193,293.82
  5. Step 5: Solve for x
    x = 342,512,193,293.82/512,465.40
  6. Step 6: Final answer
    x = 668,361.60

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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.