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Finding the Fourth Proportional to 412,699.13, 618,736.74 and 270,580.16

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Solution

The fourth proportional to 412,699.13, 618,736.74 and 270,580.16 is: 405,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,699.13 : 618,736.74 = 270,580.16 : x
  2. Step 2: Convert to fraction form
    412,699.13/618,736.74 = 270,580.16/x
  3. Step 3: Cross multiply
    412,699.13x = 618,736.74 × 270,580.16
  4. Step 4: Simplify right side
    412,699.13x = 167,417,884,409.45
  5. Step 5: Solve for x
    x = 167,417,884,409.45/412,699.13
  6. Step 6: Final answer
    x = 405,665.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.