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Finding the Fourth Proportional to 415,562.84, 623,344.43 and 100,019.75

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Solution

The fourth proportional to 415,562.84, 623,344.43 and 100,019.75 is: 150,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,562.84 : 623,344.43 = 100,019.75 : x
  2. Step 2: Convert to fraction form
    415,562.84/623,344.43 = 100,019.75/x
  3. Step 3: Cross multiply
    415,562.84x = 623,344.43 × 100,019.75
  4. Step 4: Simplify right side
    415,562.84x = 62,346,752,806.69
  5. Step 5: Solve for x
    x = 62,346,752,806.69/415,562.84
  6. Step 6: Final answer
    x = 150,029.66

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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.