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Finding the Fourth Proportional to 405,403.56, 559,439.78 and 239,938.78

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Solution

The fourth proportional to 405,403.56, 559,439.78 and 239,938.78 is: 331,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,403.56 : 559,439.78 = 239,938.78 : x
  2. Step 2: Convert to fraction form
    405,403.56/559,439.78 = 239,938.78/x
  3. Step 3: Cross multiply
    405,403.56x = 559,439.78 × 239,938.78
  4. Step 4: Simplify right side
    405,403.56x = 134,231,298,296.67
  5. Step 5: Solve for x
    x = 134,231,298,296.67/405,403.56
  6. Step 6: Final answer
    x = 331,105.38

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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.