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Finding the Fourth Proportional to 315,815.22, 435,806.64 and 172,576.44

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Solution

The fourth proportional to 315,815.22, 435,806.64 and 172,576.44 is: 238,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,815.22 : 435,806.64 = 172,576.44 : x
  2. Step 2: Convert to fraction form
    315,815.22/435,806.64 = 172,576.44/x
  3. Step 3: Cross multiply
    315,815.22x = 435,806.64 × 172,576.44
  4. Step 4: Simplify right side
    315,815.22x = 75,209,958,459.56
  5. Step 5: Solve for x
    x = 75,209,958,459.56/315,815.22
  6. Step 6: Final answer
    x = 238,145.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.