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Finding the Fourth Proportional to 231,998.40, 320,147.04 and 131,390.40

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Solution

The fourth proportional to 231,998.40, 320,147.04 and 131,390.40 is: 181,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,998.40 : 320,147.04 = 131,390.40 : x
  2. Step 2: Convert to fraction form
    231,998.40/320,147.04 = 131,390.40/x
  3. Step 3: Cross multiply
    231,998.40x = 320,147.04 × 131,390.40
  4. Step 4: Simplify right side
    231,998.40x = 42,064,247,644.42
  5. Step 5: Solve for x
    x = 42,064,247,644.42/231,998.40
  6. Step 6: Final answer
    x = 181,312.66

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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.