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Finding the Fourth Proportional to 503,211.08, 694,379.45 and 299,222.59

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Solution

The fourth proportional to 503,211.08, 694,379.45 and 299,222.59 is: 412,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,211.08 : 694,379.45 = 299,222.59 : x
  2. Step 2: Convert to fraction form
    503,211.08/694,379.45 = 299,222.59/x
  3. Step 3: Cross multiply
    503,211.08x = 694,379.45 × 299,222.59
  4. Step 4: Simplify right side
    503,211.08x = 207,774,016,737.91
  5. Step 5: Solve for x
    x = 207,774,016,737.91/503,211.08
  6. Step 6: Final answer
    x = 412,896.34

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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.