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Finding the Fourth Proportional to 297,218, 445,852.92 and 75,602

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Solution

The fourth proportional to 297,218, 445,852.92 and 75,602 is: 113,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,218 : 445,852.92 = 75,602 : x
  2. Step 2: Convert to fraction form
    297,218/445,852.92 = 75,602/x
  3. Step 3: Cross multiply
    297,218x = 445,852.92 × 75,602
  4. Step 4: Simplify right side
    297,218x = 33,707,372,457.84
  5. Step 5: Solve for x
    x = 33,707,372,457.84/297,218
  6. Step 6: Final answer
    x = 113,409.59

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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.