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Finding the Fourth Proportional to 415,998.78, 574,028.94 and 234,700.12

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Solution

The fourth proportional to 415,998.78, 574,028.94 and 234,700.12 is: 323,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,998.78 : 574,028.94 = 234,700.12 : x
  2. Step 2: Convert to fraction form
    415,998.78/574,028.94 = 234,700.12/x
  3. Step 3: Cross multiply
    415,998.78x = 574,028.94 × 234,700.12
  4. Step 4: Simplify right side
    415,998.78x = 134,724,661,101.47
  5. Step 5: Solve for x
    x = 134,724,661,101.47/415,998.78
  6. Step 6: Final answer
    x = 323,858.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.