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Finding the Fourth Proportional to 656,804.97, 906,406.61 and 366,414.30

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Solution

The fourth proportional to 656,804.97, 906,406.61 and 366,414.30 is: 505,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,804.97 : 906,406.61 = 366,414.30 : x
  2. Step 2: Convert to fraction form
    656,804.97/906,406.61 = 366,414.30/x
  3. Step 3: Cross multiply
    656,804.97x = 906,406.61 × 366,414.30
  4. Step 4: Simplify right side
    656,804.97x = 332,120,341,686.45
  5. Step 5: Solve for x
    x = 332,120,341,686.45/656,804.97
  6. Step 6: Final answer
    x = 505,660.52

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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.