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Finding the Fourth Proportional to 405,502.08, 559,568.83 and 224,199.78

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Solution

The fourth proportional to 405,502.08, 559,568.83 and 224,199.78 is: 309,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,502.08 : 559,568.83 = 224,199.78 : x
  2. Step 2: Convert to fraction form
    405,502.08/559,568.83 = 224,199.78/x
  3. Step 3: Cross multiply
    405,502.08x = 559,568.83 × 224,199.78
  4. Step 4: Simplify right side
    405,502.08x = 125,455,210,120.49
  5. Step 5: Solve for x
    x = 125,455,210,120.49/405,502.08
  6. Step 6: Final answer
    x = 309,382.41

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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.