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Finding the Fourth Proportional to 307,836.40, 462,100.20 and 238,025.20

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Solution

The fourth proportional to 307,836.40, 462,100.20 and 238,025.20 is: 357,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,836.40 : 462,100.20 = 238,025.20 : x
  2. Step 2: Convert to fraction form
    307,836.40/462,100.20 = 238,025.20/x
  3. Step 3: Cross multiply
    307,836.40x = 462,100.20 × 238,025.20
  4. Step 4: Simplify right side
    307,836.40x = 109,991,492,525.04
  5. Step 5: Solve for x
    x = 109,991,492,525.04/307,836.40
  6. Step 6: Final answer
    x = 357,305.02

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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.