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Finding the Fourth Proportional to 459,806.46, 689,512.84 and 144,287.97

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Solution

The fourth proportional to 459,806.46, 689,512.84 and 144,287.97 is: 216,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,806.46 : 689,512.84 = 144,287.97 : x
  2. Step 2: Convert to fraction form
    459,806.46/689,512.84 = 144,287.97/x
  3. Step 3: Cross multiply
    459,806.46x = 689,512.84 × 144,287.97
  4. Step 4: Simplify right side
    459,806.46x = 99,488,405,026.14
  5. Step 5: Solve for x
    x = 99,488,405,026.14/459,806.46
  6. Step 6: Final answer
    x = 216,370.18

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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.