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Finding the Fourth Proportional to 342,005.10, 513,007.65 and 317,121.90

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Solution

The fourth proportional to 342,005.10, 513,007.65 and 317,121.90 is: 475,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,005.10 : 513,007.65 = 317,121.90 : x
  2. Step 2: Convert to fraction form
    342,005.10/513,007.65 = 317,121.90/x
  3. Step 3: Cross multiply
    342,005.10x = 513,007.65 × 317,121.90
  4. Step 4: Simplify right side
    342,005.10x = 162,685,960,682.54
  5. Step 5: Solve for x
    x = 162,685,960,682.54/342,005.10
  6. Step 6: Final answer
    x = 475,682.85

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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.