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Finding the Fourth Proportional to 230,447.08, 317,836.70 and 149,900.34

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Solution

The fourth proportional to 230,447.08, 317,836.70 and 149,900.34 is: 206,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,447.08 : 317,836.70 = 149,900.34 : x
  2. Step 2: Convert to fraction form
    230,447.08/317,836.70 = 149,900.34/x
  3. Step 3: Cross multiply
    230,447.08x = 317,836.70 × 149,900.34
  4. Step 4: Simplify right side
    230,447.08x = 47,643,827,055.79
  5. Step 5: Solve for x
    x = 47,643,827,055.79/230,447.08
  6. Step 6: Final answer
    x = 206,745.20

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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.