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Finding the Fourth Proportional to 307,309.04, 460,664.21 and 138,871.77

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Solution

The fourth proportional to 307,309.04, 460,664.21 and 138,871.77 is: 208,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,309.04 : 460,664.21 = 138,871.77 : x
  2. Step 2: Convert to fraction form
    307,309.04/460,664.21 = 138,871.77/x
  3. Step 3: Cross multiply
    307,309.04x = 460,664.21 × 138,871.77
  4. Step 4: Simplify right side
    307,309.04x = 63,973,252,838.04
  5. Step 5: Solve for x
    x = 63,973,252,838.04/307,309.04
  6. Step 6: Final answer
    x = 208,172.38

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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.