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Finding the Fourth Proportional to 301,838.40, 452,757.60 and 202,111.20

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Solution

The fourth proportional to 301,838.40, 452,757.60 and 202,111.20 is: 303,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,838.40 : 452,757.60 = 202,111.20 : x
  2. Step 2: Convert to fraction form
    301,838.40/452,757.60 = 202,111.20/x
  3. Step 3: Cross multiply
    301,838.40x = 452,757.60 × 202,111.20
  4. Step 4: Simplify right side
    301,838.40x = 91,507,381,845.12
  5. Step 5: Solve for x
    x = 91,507,381,845.12/301,838.40
  6. Step 6: Final answer
    x = 303,166.80

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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.