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Finding the Fourth Proportional to 312,617.08, 431,410.98 and 169,381

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Solution

The fourth proportional to 312,617.08, 431,410.98 and 169,381 is: 233,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,617.08 : 431,410.98 = 169,381 : x
  2. Step 2: Convert to fraction form
    312,617.08/431,410.98 = 169,381/x
  3. Step 3: Cross multiply
    312,617.08x = 431,410.98 × 169,381
  4. Step 4: Simplify right side
    312,617.08x = 73,072,823,203.38
  5. Step 5: Solve for x
    x = 73,072,823,203.38/312,617.08
  6. Step 6: Final answer
    x = 233,745.46

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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.