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Finding the Fourth Proportional to 412,045.26, 618,061.41 and 300,433.74

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Solution

The fourth proportional to 412,045.26, 618,061.41 and 300,433.74 is: 450,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,045.26 : 618,061.41 = 300,433.74 : x
  2. Step 2: Convert to fraction form
    412,045.26/618,061.41 = 300,433.74/x
  3. Step 3: Cross multiply
    412,045.26x = 618,061.41 × 300,433.74
  4. Step 4: Simplify right side
    412,045.26x = 185,686,500,955.97
  5. Step 5: Solve for x
    x = 185,686,500,955.97/412,045.26
  6. Step 6: Final answer
    x = 450,645.89

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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.