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Finding the Fourth Proportional to 453,105, 679,613.60 and 137,564.64

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Solution

The fourth proportional to 453,105, 679,613.60 and 137,564.64 is: 206,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,105 : 679,613.60 = 137,564.64 : x
  2. Step 2: Convert to fraction form
    453,105/679,613.60 = 137,564.64/x
  3. Step 3: Cross multiply
    453,105x = 679,613.60 × 137,564.64
  4. Step 4: Simplify right side
    453,105x = 93,490,800,223.10
  5. Step 5: Solve for x
    x = 93,490,800,223.10/453,105
  6. Step 6: Final answer
    x = 206,333.63

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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.