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Finding the Fourth Proportional to 405,487.77, 559,524.29 and 224,175.21

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Solution

The fourth proportional to 405,487.77, 559,524.29 and 224,175.21 is: 309,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,487.77 : 559,524.29 = 224,175.21 : x
  2. Step 2: Convert to fraction form
    405,487.77/559,524.29 = 224,175.21/x
  3. Step 3: Cross multiply
    405,487.77x = 559,524.29 × 224,175.21
  4. Step 4: Simplify right side
    405,487.77x = 125,431,474,089.98
  5. Step 5: Solve for x
    x = 125,431,474,089.98/405,487.77
  6. Step 6: Final answer
    x = 309,334.79

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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.