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Finding the Fourth Proportional to 307,930.01, 462,041.21 and 213,305.81

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Solution

The fourth proportional to 307,930.01, 462,041.21 and 213,305.81 is: 320,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,930.01 : 462,041.21 = 213,305.81 : x
  2. Step 2: Convert to fraction form
    307,930.01/462,041.21 = 213,305.81/x
  3. Step 3: Cross multiply
    307,930.01x = 462,041.21 × 213,305.81
  4. Step 4: Simplify right side
    307,930.01x = 98,556,072,775.49
  5. Step 5: Solve for x
    x = 98,556,072,775.49/307,930.01
  6. Step 6: Final answer
    x = 320,059.98

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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.