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Finding the Fourth Proportional to 415,807.78, 623,181.39 and 202,626.58

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Solution

The fourth proportional to 415,807.78, 623,181.39 and 202,626.58 is: 303,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,807.78 : 623,181.39 = 202,626.58 : x
  2. Step 2: Convert to fraction form
    415,807.78/623,181.39 = 202,626.58/x
  3. Step 3: Cross multiply
    415,807.78x = 623,181.39 × 202,626.58
  4. Step 4: Simplify right side
    415,807.78x = 126,273,113,775.35
  5. Step 5: Solve for x
    x = 126,273,113,775.35/415,807.78
  6. Step 6: Final answer
    x = 303,681.46

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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.