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Finding the Fourth Proportional to 665,362.94, 918,199.92 and 378,883.10

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Solution

The fourth proportional to 665,362.94, 918,199.92 and 378,883.10 is: 522,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,362.94 : 918,199.92 = 378,883.10 : x
  2. Step 2: Convert to fraction form
    665,362.94/918,199.92 = 378,883.10/x
  3. Step 3: Cross multiply
    665,362.94x = 918,199.92 × 378,883.10
  4. Step 4: Simplify right side
    665,362.94x = 347,890,432,109.35
  5. Step 5: Solve for x
    x = 347,890,432,109.35/665,362.94
  6. Step 6: Final answer
    x = 522,858.14

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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.