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Finding the Fourth Proportional to 300,320.90, 414,424.98 and 164,327.72

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Solution

The fourth proportional to 300,320.90, 414,424.98 and 164,327.72 is: 226,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,320.90 : 414,424.98 = 164,327.72 : x
  2. Step 2: Convert to fraction form
    300,320.90/414,424.98 = 164,327.72/x
  3. Step 3: Cross multiply
    300,320.90x = 414,424.98 × 164,327.72
  4. Step 4: Simplify right side
    300,320.90x = 68,101,512,074.45
  5. Step 5: Solve for x
    x = 68,101,512,074.45/300,320.90
  6. Step 6: Final answer
    x = 226,762.48

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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.