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Finding the Fourth Proportional to 298,361.40, 446,246.10 and 266,998.20

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Solution

The fourth proportional to 298,361.40, 446,246.10 and 266,998.20 is: 399,337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,361.40 : 446,246.10 = 266,998.20 : x
  2. Step 2: Convert to fraction form
    298,361.40/446,246.10 = 266,998.20/x
  3. Step 3: Cross multiply
    298,361.40x = 446,246.10 × 266,998.20
  4. Step 4: Simplify right side
    298,361.40x = 119,146,905,457.02
  5. Step 5: Solve for x
    x = 119,146,905,457.02/298,361.40
  6. Step 6: Final answer
    x = 399,337.53

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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.