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Finding the Fourth Proportional to 323,054.40, 484,408.80 and 135,854.40

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Solution

The fourth proportional to 323,054.40, 484,408.80 and 135,854.40 is: 203,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,054.40 : 484,408.80 = 135,854.40 : x
  2. Step 2: Convert to fraction form
    323,054.40/484,408.80 = 135,854.40/x
  3. Step 3: Cross multiply
    323,054.40x = 484,408.80 × 135,854.40
  4. Step 4: Simplify right side
    323,054.40x = 65,809,066,878.72
  5. Step 5: Solve for x
    x = 65,809,066,878.72/323,054.40
  6. Step 6: Final answer
    x = 203,708.93

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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.