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Finding the Fourth Proportional to 415,075.80, 622,905.30 and 178,588.20

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Solution

The fourth proportional to 415,075.80, 622,905.30 and 178,588.20 is: 268,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,075.80 : 622,905.30 = 178,588.20 : x
  2. Step 2: Convert to fraction form
    415,075.80/622,905.30 = 178,588.20/x
  3. Step 3: Cross multiply
    415,075.80x = 622,905.30 × 178,588.20
  4. Step 4: Simplify right side
    415,075.80x = 111,243,536,297.46
  5. Step 5: Solve for x
    x = 111,243,536,297.46/415,075.80
  6. Step 6: Final answer
    x = 268,007.76

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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.