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Finding the Fourth Proportional to 451,620.82, 677,431.53 and 114,686.74

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Solution

The fourth proportional to 451,620.82, 677,431.53 and 114,686.74 is: 172,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,620.82 : 677,431.53 = 114,686.74 : x
  2. Step 2: Convert to fraction form
    451,620.82/677,431.53 = 114,686.74/x
  3. Step 3: Cross multiply
    451,620.82x = 677,431.53 × 114,686.74
  4. Step 4: Simplify right side
    451,620.82x = 77,692,413,748.91
  5. Step 5: Solve for x
    x = 77,692,413,748.91/451,620.82
  6. Step 6: Final answer
    x = 172,030.19

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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.