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Finding the Fourth Proportional to 338,098, 507,241.84 and 135,836.14

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Solution

The fourth proportional to 338,098, 507,241.84 and 135,836.14 is: 203,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,098 : 507,241.84 = 135,836.14 : x
  2. Step 2: Convert to fraction form
    338,098/507,241.84 = 135,836.14/x
  3. Step 3: Cross multiply
    338,098x = 507,241.84 × 135,836.14
  4. Step 4: Simplify right side
    338,098x = 68,901,773,592.10
  5. Step 5: Solve for x
    x = 68,901,773,592.10/338,098
  6. Step 6: Final answer
    x = 203,792.31

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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.