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Finding the Fourth Proportional to 300,319.90, 414,423.60 and 164,326.72

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Solution

The fourth proportional to 300,319.90, 414,423.60 and 164,326.72 is: 226,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,319.90 : 414,423.60 = 164,326.72 : x
  2. Step 2: Convert to fraction form
    300,319.90/414,423.60 = 164,326.72/x
  3. Step 3: Cross multiply
    300,319.90x = 414,423.60 × 164,326.72
  4. Step 4: Simplify right side
    300,319.90x = 68,100,870,878.59
  5. Step 5: Solve for x
    x = 68,100,870,878.59/300,319.90
  6. Step 6: Final answer
    x = 226,761.10

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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.