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Finding the Fourth Proportional to 654,334.56, 902,912.64 and 363,899.04

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Solution

The fourth proportional to 654,334.56, 902,912.64 and 363,899.04 is: 502,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,334.56 : 902,912.64 = 363,899.04 : x
  2. Step 2: Convert to fraction form
    654,334.56/902,912.64 = 363,899.04/x
  3. Step 3: Cross multiply
    654,334.56x = 902,912.64 × 363,899.04
  4. Step 4: Simplify right side
    654,334.56x = 328,569,042,899.87
  5. Step 5: Solve for x
    x = 328,569,042,899.87/654,334.56
  6. Step 6: Final answer
    x = 502,142.27

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1.5x scale

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.