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Finding the Fourth Proportional to 300,117.85, 414,175.90 and 172,834.45

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Solution

The fourth proportional to 300,117.85, 414,175.90 and 172,834.45 is: 238,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,117.85 : 414,175.90 = 172,834.45 : x
  2. Step 2: Convert to fraction form
    300,117.85/414,175.90 = 172,834.45/x
  3. Step 3: Cross multiply
    300,117.85x = 414,175.90 × 172,834.45
  4. Step 4: Simplify right side
    300,117.85x = 71,583,863,879.76
  5. Step 5: Solve for x
    x = 71,583,863,879.76/300,117.85
  6. Step 6: Final answer
    x = 238,519.18

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1.5x scale

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.