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Finding the Fourth Proportional to 667,072.64, 920,561.76 and 361,152.24

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Solution

The fourth proportional to 667,072.64, 920,561.76 and 361,152.24 is: 498,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,072.64 : 920,561.76 = 361,152.24 : x
  2. Step 2: Convert to fraction form
    667,072.64/920,561.76 = 361,152.24/x
  3. Step 3: Cross multiply
    667,072.64x = 920,561.76 × 361,152.24
  4. Step 4: Simplify right side
    667,072.64x = 332,462,941,682.34
  5. Step 5: Solve for x
    x = 332,462,941,682.34/667,072.64
  6. Step 6: Final answer
    x = 498,390.91

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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.