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Finding the Fourth Proportional to 665,191.98, 917,942.22 and 378,656.64

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Solution

The fourth proportional to 665,191.98, 917,942.22 and 378,656.64 is: 522,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,191.98 : 917,942.22 = 378,656.64 : x
  2. Step 2: Convert to fraction form
    665,191.98/917,942.22 = 378,656.64/x
  3. Step 3: Cross multiply
    665,191.98x = 917,942.22 × 378,656.64
  4. Step 4: Simplify right side
    665,191.98x = 347,584,916,739.34
  5. Step 5: Solve for x
    x = 347,584,916,739.34/665,191.98
  6. Step 6: Final answer
    x = 522,533.23

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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.