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Finding the Fourth Proportional to 300,373.40, 414,509 and 164,404.20

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Solution

The fourth proportional to 300,373.40, 414,509 and 164,404.20 is: 226,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,373.40 : 414,509 = 164,404.20 : x
  2. Step 2: Convert to fraction form
    300,373.40/414,509 = 164,404.20/x
  3. Step 3: Cross multiply
    300,373.40x = 414,509 × 164,404.20
  4. Step 4: Simplify right side
    300,373.40x = 68,147,020,537.80
  5. Step 5: Solve for x
    x = 68,147,020,537.80/300,373.40
  6. Step 6: Final answer
    x = 226,874.35

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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.