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Finding the Fourth Proportional to 405,986.72, 560,253.84 and 224,698.64

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Solution

The fourth proportional to 405,986.72, 560,253.84 and 224,698.64 is: 310,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,986.72 : 560,253.84 = 224,698.64 : x
  2. Step 2: Convert to fraction form
    405,986.72/560,253.84 = 224,698.64/x
  3. Step 3: Cross multiply
    405,986.72x = 560,253.84 × 224,698.64
  4. Step 4: Simplify right side
    405,986.72x = 125,888,275,902.78
  5. Step 5: Solve for x
    x = 125,888,275,902.78/405,986.72
  6. Step 6: Final answer
    x = 310,079.79

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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.