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Finding the Fourth Proportional to 405,840.80, 560,076.81 and 224,549.78

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Solution

The fourth proportional to 405,840.80, 560,076.81 and 224,549.78 is: 309,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,840.80 : 560,076.81 = 224,549.78 : x
  2. Step 2: Convert to fraction form
    405,840.80/560,076.81 = 224,549.78/x
  3. Step 3: Cross multiply
    405,840.80x = 560,076.81 × 224,549.78
  4. Step 4: Simplify right side
    405,840.80x = 125,765,124,468.60
  5. Step 5: Solve for x
    x = 125,765,124,468.60/405,840.80
  6. Step 6: Final answer
    x = 309,887.83

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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.