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Finding the Fourth Proportional to 307,225.20, 461,129.40 and 189,127.20

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Solution

The fourth proportional to 307,225.20, 461,129.40 and 189,127.20 is: 283,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,225.20 : 461,129.40 = 189,127.20 : x
  2. Step 2: Convert to fraction form
    307,225.20/461,129.40 = 189,127.20/x
  3. Step 3: Cross multiply
    307,225.20x = 461,129.40 × 189,127.20
  4. Step 4: Simplify right side
    307,225.20x = 87,212,112,259.68
  5. Step 5: Solve for x
    x = 87,212,112,259.68/307,225.20
  6. Step 6: Final answer
    x = 283,870.31

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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.