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Finding the Fourth Proportional to 405,636.57, 559,774.94 and 224,361.81

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Solution

The fourth proportional to 405,636.57, 559,774.94 and 224,361.81 is: 309,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,636.57 : 559,774.94 = 224,361.81 : x
  2. Step 2: Convert to fraction form
    405,636.57/559,774.94 = 224,361.81/x
  3. Step 3: Cross multiply
    405,636.57x = 559,774.94 × 224,361.81
  4. Step 4: Simplify right side
    405,636.57x = 125,592,117,609.23
  5. Step 5: Solve for x
    x = 125,592,117,609.23/405,636.57
  6. Step 6: Final answer
    x = 309,617.34

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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.