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Finding the Fourth Proportional to 405,963.30, 560,215.50 and 224,682.90

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Solution

The fourth proportional to 405,963.30, 560,215.50 and 224,682.90 is: 310,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,963.30 : 560,215.50 = 224,682.90 : x
  2. Step 2: Convert to fraction form
    405,963.30/560,215.50 = 224,682.90/x
  3. Step 3: Cross multiply
    405,963.30x = 560,215.50 × 224,682.90
  4. Step 4: Simplify right side
    405,963.30x = 125,870,843,164.95
  5. Step 5: Solve for x
    x = 125,870,843,164.95/405,963.30
  6. Step 6: Final answer
    x = 310,054.73

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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.