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Finding the Fourth Proportional to 415,872.90, 623,803.59 and 100,327.14

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Solution

The fourth proportional to 415,872.90, 623,803.59 and 100,327.14 is: 150,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,872.90 : 623,803.59 = 100,327.14 : x
  2. Step 2: Convert to fraction form
    415,872.90/623,803.59 = 100,327.14/x
  3. Step 3: Cross multiply
    415,872.90x = 623,803.59 × 100,327.14
  4. Step 4: Simplify right side
    415,872.90x = 62,584,430,106.43
  5. Step 5: Solve for x
    x = 62,584,430,106.43/415,872.90
  6. Step 6: Final answer
    x = 150,489.32

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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.