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Finding the Fourth Proportional to 243,318.62, 364,893.39 and 135,412.64

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Solution

The fourth proportional to 243,318.62, 364,893.39 and 135,412.64 is: 203,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,318.62 : 364,893.39 = 135,412.64 : x
  2. Step 2: Convert to fraction form
    243,318.62/364,893.39 = 135,412.64/x
  3. Step 3: Cross multiply
    243,318.62x = 364,893.39 × 135,412.64
  4. Step 4: Simplify right side
    243,318.62x = 49,411,177,258.45
  5. Step 5: Solve for x
    x = 49,411,177,258.45/243,318.62
  6. Step 6: Final answer
    x = 203,071.91

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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.