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Finding the Fourth Proportional to 460,138.37, 690,174.54 and 144,685.49

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Solution

The fourth proportional to 460,138.37, 690,174.54 and 144,685.49 is: 217,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,138.37 : 690,174.54 = 144,685.49 : x
  2. Step 2: Convert to fraction form
    460,138.37/690,174.54 = 144,685.49/x
  3. Step 3: Cross multiply
    460,138.37x = 690,174.54 × 144,685.49
  4. Step 4: Simplify right side
    460,138.37x = 99,858,238,054.55
  5. Step 5: Solve for x
    x = 99,858,238,054.55/460,138.37
  6. Step 6: Final answer
    x = 217,017.85

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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.