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Finding the Fourth Proportional to 272,201.40, 407,864.70 and 201,342.60

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Solution

The fourth proportional to 272,201.40, 407,864.70 and 201,342.60 is: 301,690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,201.40 : 407,864.70 = 201,342.60 : x
  2. Step 2: Convert to fraction form
    272,201.40/407,864.70 = 201,342.60/x
  3. Step 3: Cross multiply
    272,201.40x = 407,864.70 × 201,342.60
  4. Step 4: Simplify right side
    272,201.40x = 82,120,539,146.22
  5. Step 5: Solve for x
    x = 82,120,539,146.22/272,201.40
  6. Step 6: Final answer
    x = 301,690.36

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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.