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Finding the Fourth Proportional to 445,686.55, 668,464.21 and 146,198.77

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Solution

The fourth proportional to 445,686.55, 668,464.21 and 146,198.77 is: 219,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,686.55 : 668,464.21 = 146,198.77 : x
  2. Step 2: Convert to fraction form
    445,686.55/668,464.21 = 146,198.77/x
  3. Step 3: Cross multiply
    445,686.55x = 668,464.21 × 146,198.77
  4. Step 4: Simplify right side
    445,686.55x = 97,728,645,291.02
  5. Step 5: Solve for x
    x = 97,728,645,291.02/445,686.55
  6. Step 6: Final answer
    x = 219,276.63

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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.