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Finding the Fourth Proportional to 415,409.20, 622,883.40 and 165,809.20

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Solution

The fourth proportional to 415,409.20, 622,883.40 and 165,809.20 is: 248,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,409.20 : 622,883.40 = 165,809.20 : x
  2. Step 2: Convert to fraction form
    415,409.20/622,883.40 = 165,809.20/x
  3. Step 3: Cross multiply
    415,409.20x = 622,883.40 × 165,809.20
  4. Step 4: Simplify right side
    415,409.20x = 103,279,798,247.28
  5. Step 5: Solve for x
    x = 103,279,798,247.28/415,409.20
  6. Step 6: Final answer
    x = 248,621.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.