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Finding the Fourth Proportional to 354,735.28, 531,640.86 and 144,127

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Solution

The fourth proportional to 354,735.28, 531,640.86 and 144,127 is: 216,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,735.28 : 531,640.86 = 144,127 : x
  2. Step 2: Convert to fraction form
    354,735.28/531,640.86 = 144,127/x
  3. Step 3: Cross multiply
    354,735.28x = 531,640.86 × 144,127
  4. Step 4: Simplify right side
    354,735.28x = 76,623,802,229.22
  5. Step 5: Solve for x
    x = 76,623,802,229.22/354,735.28
  6. Step 6: Final answer
    x = 216,002.77

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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.