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Finding the Fourth Proportional to 665,143, 917,917.50 and 363,356.44

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Solution

The fourth proportional to 665,143, 917,917.50 and 363,356.44 is: 501,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,143 : 917,917.50 = 363,356.44 : x
  2. Step 2: Convert to fraction form
    665,143/917,917.50 = 363,356.44/x
  3. Step 3: Cross multiply
    665,143x = 917,917.50 × 363,356.44
  4. Step 4: Simplify right side
    665,143x = 333,531,235,013.70
  5. Step 5: Solve for x
    x = 333,531,235,013.70/665,143
  6. Step 6: Final answer
    x = 501,442.90

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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.