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Finding the Fourth Proportional to 295,893,310.72, 407,998,614.72 and 221,314,865.98

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Solution

The fourth proportional to 295,893,310.72, 407,998,614.72 and 221,314,865.98 is: 305,164,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,893,310.72 : 407,998,614.72 = 221,314,865.98 : x
  2. Step 2: Convert to fraction form
    295,893,310.72/407,998,614.72 = 221,314,865.98/x
  3. Step 3: Cross multiply
    295,893,310.72x = 407,998,614.72 × 221,314,865.98
  4. Step 4: Simplify right side
    295,893,310.72x = 90,296,158,736,782,464
  5. Step 5: Solve for x
    x = 90,296,158,736,782,464/295,893,310.72
  6. Step 6: Final answer
    x = 305,164,582.86

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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.