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Finding the Fourth Proportional to 409,129.02, 613,844.19 and 172,447.02

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Solution

The fourth proportional to 409,129.02, 613,844.19 and 172,447.02 is: 258,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,129.02 : 613,844.19 = 172,447.02 : x
  2. Step 2: Convert to fraction form
    409,129.02/613,844.19 = 172,447.02/x
  3. Step 3: Cross multiply
    409,129.02x = 613,844.19 × 172,447.02
  4. Step 4: Simplify right side
    409,129.02x = 105,855,601,309.81
  5. Step 5: Solve for x
    x = 105,855,601,309.81/409,129.02
  6. Step 6: Final answer
    x = 258,734.03

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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.