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Finding the Fourth Proportional to 405,873.77, 560,067.66 and 274,784.76

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Solution

The fourth proportional to 405,873.77, 560,067.66 and 274,784.76 is: 379,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,873.77 : 560,067.66 = 274,784.76 : x
  2. Step 2: Convert to fraction form
    405,873.77/560,067.66 = 274,784.76/x
  3. Step 3: Cross multiply
    405,873.77x = 560,067.66 × 274,784.76
  4. Step 4: Simplify right side
    405,873.77x = 153,898,057,536.86
  5. Step 5: Solve for x
    x = 153,898,057,536.86/405,873.77
  6. Step 6: Final answer
    x = 379,177.15

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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.