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Finding the Fourth Proportional to 460,109.32, 690,233.64 and 144,536.56

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Solution

The fourth proportional to 460,109.32, 690,233.64 and 144,536.56 is: 216,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,109.32 : 690,233.64 = 144,536.56 : x
  2. Step 2: Convert to fraction form
    460,109.32/690,233.64 = 144,536.56/x
  3. Step 3: Cross multiply
    460,109.32x = 690,233.64 × 144,536.56
  4. Step 4: Simplify right side
    460,109.32x = 99,763,995,921.88
  5. Step 5: Solve for x
    x = 99,763,995,921.88/460,109.32
  6. Step 6: Final answer
    x = 216,826.72

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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.