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Finding the Fourth Proportional to 405,441.80, 559,505.72 and 224,158.12

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Solution

The fourth proportional to 405,441.80, 559,505.72 and 224,158.12 is: 309,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,441.80 : 559,505.72 = 224,158.12 : x
  2. Step 2: Convert to fraction form
    405,441.80/559,505.72 = 224,158.12/x
  3. Step 3: Cross multiply
    405,441.80x = 559,505.72 × 224,158.12
  4. Step 4: Simplify right side
    405,441.80x = 125,417,750,324.45
  5. Step 5: Solve for x
    x = 125,417,750,324.45/405,441.80
  6. Step 6: Final answer
    x = 309,336.01

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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.