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Finding the Fourth Proportional to 300,117.69, 414,175.68 and 172,834.29

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Solution

The fourth proportional to 300,117.69, 414,175.68 and 172,834.29 is: 238,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,117.69 : 414,175.68 = 172,834.29 : x
  2. Step 2: Convert to fraction form
    300,117.69/414,175.68 = 172,834.29/x
  3. Step 3: Cross multiply
    300,117.69x = 414,175.68 × 172,834.29
  4. Step 4: Simplify right side
    300,117.69x = 71,583,759,588.07
  5. Step 5: Solve for x
    x = 71,583,759,588.07/300,117.69
  6. Step 6: Final answer
    x = 238,518.96

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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.