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Finding the Fourth Proportional to 405,697.71, 559,814.25 and 224,385.15

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Solution

The fourth proportional to 405,697.71, 559,814.25 and 224,385.15 is: 309,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,697.71 : 559,814.25 = 224,385.15 : x
  2. Step 2: Convert to fraction form
    405,697.71/559,814.25 = 224,385.15/x
  3. Step 3: Cross multiply
    405,697.71x = 559,814.25 × 224,385.15
  4. Step 4: Simplify right side
    405,697.71x = 125,614,004,458.39
  5. Step 5: Solve for x
    x = 125,614,004,458.39/405,697.71
  6. Step 6: Final answer
    x = 309,624.63

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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.