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Finding the Fourth Proportional to 307,009.71, 460,563.77 and 129,542.87

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Solution

The fourth proportional to 307,009.71, 460,563.77 and 129,542.87 is: 194,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,009.71 : 460,563.77 = 129,542.87 : x
  2. Step 2: Convert to fraction form
    307,009.71/460,563.77 = 129,542.87/x
  3. Step 3: Cross multiply
    307,009.71x = 460,563.77 × 129,542.87
  4. Step 4: Simplify right side
    307,009.71x = 59,662,749,633.29
  5. Step 5: Solve for x
    x = 59,662,749,633.29/307,009.71
  6. Step 6: Final answer
    x = 194,335.06

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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.