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Finding the Fourth Proportional to 656,969.50, 906,620.07 and 355,165.66

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Solution

The fourth proportional to 656,969.50, 906,620.07 and 355,165.66 is: 490,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,969.50 : 906,620.07 = 355,165.66 : x
  2. Step 2: Convert to fraction form
    656,969.50/906,620.07 = 355,165.66/x
  3. Step 3: Cross multiply
    656,969.50x = 906,620.07 × 355,165.66
  4. Step 4: Simplify right side
    656,969.50x = 322,000,315,530.80
  5. Step 5: Solve for x
    x = 322,000,315,530.80/656,969.50
  6. Step 6: Final answer
    x = 490,129.78

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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.