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Finding the Fourth Proportional to 307,129.11, 460,693.71 and 120,009.39

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Solution

The fourth proportional to 307,129.11, 460,693.71 and 120,009.39 is: 180,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,129.11 : 460,693.71 = 120,009.39 : x
  2. Step 2: Convert to fraction form
    307,129.11/460,693.71 = 120,009.39/x
  3. Step 3: Cross multiply
    307,129.11x = 460,693.71 × 120,009.39
  4. Step 4: Simplify right side
    307,129.11x = 55,287,571,113.94
  5. Step 5: Solve for x
    x = 55,287,571,113.94/307,129.11
  6. Step 6: Final answer
    x = 180,014.10

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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.