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Finding the Fourth Proportional to 307,303.05, 423,927.45 and 205,353.54

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Solution

The fourth proportional to 307,303.05, 423,927.45 and 205,353.54 is: 283,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,303.05 : 423,927.45 = 205,353.54 : x
  2. Step 2: Convert to fraction form
    307,303.05/423,927.45 = 205,353.54/x
  3. Step 3: Cross multiply
    307,303.05x = 423,927.45 × 205,353.54
  4. Step 4: Simplify right side
    307,303.05x = 87,055,002,560.67
  5. Step 5: Solve for x
    x = 87,055,002,560.67/307,303.05
  6. Step 6: Final answer
    x = 283,287.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.