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Finding the Fourth Proportional to 231,790.33, 320,024.28 and 177,978.79

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Solution

The fourth proportional to 231,790.33, 320,024.28 and 177,978.79 is: 245,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,790.33 : 320,024.28 = 177,978.79 : x
  2. Step 2: Convert to fraction form
    231,790.33/320,024.28 = 177,978.79/x
  3. Step 3: Cross multiply
    231,790.33x = 320,024.28 × 177,978.79
  4. Step 4: Simplify right side
    231,790.33x = 56,957,534,125.02
  5. Step 5: Solve for x
    x = 56,957,534,125.02/231,790.33
  6. Step 6: Final answer
    x = 245,728.69

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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.