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Finding the Fourth Proportional to 667,741.44, 921,533.12 and 413,240.64

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Solution

The fourth proportional to 667,741.44, 921,533.12 and 413,240.64 is: 570,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,741.44 : 921,533.12 = 413,240.64 : x
  2. Step 2: Convert to fraction form
    667,741.44/921,533.12 = 413,240.64/x
  3. Step 3: Cross multiply
    667,741.44x = 921,533.12 × 413,240.64
  4. Step 4: Simplify right side
    667,741.44x = 380,814,936,290.00
  5. Step 5: Solve for x
    x = 380,814,936,290.00/667,741.44
  6. Step 6: Final answer
    x = 570,302.98

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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.