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Finding the Fourth Proportional to 415,266.40, 622,899.60 and 407,393.20

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Solution

The fourth proportional to 415,266.40, 622,899.60 and 407,393.20 is: 611,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,266.40 : 622,899.60 = 407,393.20 : x
  2. Step 2: Convert to fraction form
    415,266.40/622,899.60 = 407,393.20/x
  3. Step 3: Cross multiply
    415,266.40x = 622,899.60 × 407,393.20
  4. Step 4: Simplify right side
    415,266.40x = 253,765,061,322.72
  5. Step 5: Solve for x
    x = 253,765,061,322.72/415,266.40
  6. Step 6: Final answer
    x = 611,089.80

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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.