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Finding the Fourth Proportional to 405,986.40, 560,249.64 and 224,705.76

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Solution

The fourth proportional to 405,986.40, 560,249.64 and 224,705.76 is: 310,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,986.40 : 560,249.64 = 224,705.76 : x
  2. Step 2: Convert to fraction form
    405,986.40/560,249.64 = 224,705.76/x
  3. Step 3: Cross multiply
    405,986.40x = 560,249.64 × 224,705.76
  4. Step 4: Simplify right side
    405,986.40x = 125,891,321,145.93
  5. Step 5: Solve for x
    x = 125,891,321,145.93/405,986.40
  6. Step 6: Final answer
    x = 310,087.53

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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.