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Finding the Fourth Proportional to 405,341.01, 559,361.70 and 224,046

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Solution

The fourth proportional to 405,341.01, 559,361.70 and 224,046 is: 309,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,341.01 : 559,361.70 = 224,046 : x
  2. Step 2: Convert to fraction form
    405,341.01/559,361.70 = 224,046/x
  3. Step 3: Cross multiply
    405,341.01x = 559,361.70 × 224,046
  4. Step 4: Simplify right side
    405,341.01x = 125,322,751,438.20
  5. Step 5: Solve for x
    x = 125,322,751,438.20/405,341.01
  6. Step 6: Final answer
    x = 309,178.56

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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.