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Finding the Fourth Proportional to 326,205.84, 488,845.76 and 136,461.72

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Solution

The fourth proportional to 326,205.84, 488,845.76 and 136,461.72 is: 204,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,205.84 : 488,845.76 = 136,461.72 : x
  2. Step 2: Convert to fraction form
    326,205.84/488,845.76 = 136,461.72/x
  3. Step 3: Cross multiply
    326,205.84x = 488,845.76 × 136,461.72
  4. Step 4: Simplify right side
    326,205.84x = 66,708,733,224.31
  5. Step 5: Solve for x
    x = 66,708,733,224.31/326,205.84
  6. Step 6: Final answer
    x = 204,498.89

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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.