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Finding the Fourth Proportional to 491,134.46, 677,704.93 and 309,777.89

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Solution

The fourth proportional to 491,134.46, 677,704.93 and 309,777.89 is: 427,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,134.46 : 677,704.93 = 309,777.89 : x
  2. Step 2: Convert to fraction form
    491,134.46/677,704.93 = 309,777.89/x
  3. Step 3: Cross multiply
    491,134.46x = 677,704.93 × 309,777.89
  4. Step 4: Simplify right side
    491,134.46x = 209,937,999,095.03
  5. Step 5: Solve for x
    x = 209,937,999,095.03/491,134.46
  6. Step 6: Final answer
    x = 427,455.25

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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.