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Finding the Fourth Proportional to 415,030.80, 622,837.80 and 178,543.20

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Solution

The fourth proportional to 415,030.80, 622,837.80 and 178,543.20 is: 267,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,030.80 : 622,837.80 = 178,543.20 : x
  2. Step 2: Convert to fraction form
    415,030.80/622,837.80 = 178,543.20/x
  3. Step 3: Cross multiply
    415,030.80x = 622,837.80 × 178,543.20
  4. Step 4: Simplify right side
    415,030.80x = 111,203,453,892.96
  5. Step 5: Solve for x
    x = 111,203,453,892.96/415,030.80
  6. Step 6: Final answer
    x = 267,940.24

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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.