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Finding the Fourth Proportional to 491,484.12, 678,174.28 and 276,611.40

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Solution

The fourth proportional to 491,484.12, 678,174.28 and 276,611.40 is: 381,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,484.12 : 678,174.28 = 276,611.40 : x
  2. Step 2: Convert to fraction form
    491,484.12/678,174.28 = 276,611.40/x
  3. Step 3: Cross multiply
    491,484.12x = 678,174.28 × 276,611.40
  4. Step 4: Simplify right side
    491,484.12x = 187,590,737,034.79
  5. Step 5: Solve for x
    x = 187,590,737,034.79/491,484.12
  6. Step 6: Final answer
    x = 381,682.19

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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.