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Finding the Fourth Proportional to 438,980.64, 657,942.32 and 201,998.88

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Solution

The fourth proportional to 438,980.64, 657,942.32 and 201,998.88 is: 302,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,980.64 : 657,942.32 = 201,998.88 : x
  2. Step 2: Convert to fraction form
    438,980.64/657,942.32 = 201,998.88/x
  3. Step 3: Cross multiply
    438,980.64x = 657,942.32 × 201,998.88
  4. Step 4: Simplify right side
    438,980.64x = 132,903,611,744.60
  5. Step 5: Solve for x
    x = 132,903,611,744.60/438,980.64
  6. Step 6: Final answer
    x = 302,755.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.