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Finding the Fourth Proportional to 415,732.70, 623,782.65 and 202,382.30

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Solution

The fourth proportional to 415,732.70, 623,782.65 and 202,382.30 is: 303,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,732.70 : 623,782.65 = 202,382.30 : x
  2. Step 2: Convert to fraction form
    415,732.70/623,782.65 = 202,382.30/x
  3. Step 3: Cross multiply
    415,732.70x = 623,782.65 × 202,382.30
  4. Step 4: Simplify right side
    415,732.70x = 126,242,567,407.10
  5. Step 5: Solve for x
    x = 126,242,567,407.10/415,732.70
  6. Step 6: Final answer
    x = 303,662.83

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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.