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Finding the Fourth Proportional to 412,804.42, 619,218.47 and 113,287.48

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Solution

The fourth proportional to 412,804.42, 619,218.47 and 113,287.48 is: 169,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,804.42 : 619,218.47 = 113,287.48 : x
  2. Step 2: Convert to fraction form
    412,804.42/619,218.47 = 113,287.48/x
  3. Step 3: Cross multiply
    412,804.42x = 619,218.47 × 113,287.48
  4. Step 4: Simplify right side
    412,804.42x = 70,149,698,770.93
  5. Step 5: Solve for x
    x = 70,149,698,770.93/412,804.42
  6. Step 6: Final answer
    x = 169,934.47

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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.