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Finding the Fourth Proportional to 459,936, 689,904 and 127,512

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Solution

The fourth proportional to 459,936, 689,904 and 127,512 is: 191,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,936 : 689,904 = 127,512 : x
  2. Step 2: Convert to fraction form
    459,936/689,904 = 127,512/x
  3. Step 3: Cross multiply
    459,936x = 689,904 × 127,512
  4. Step 4: Simplify right side
    459,936x = 87,971,038,848
  5. Step 5: Solve for x
    x = 87,971,038,848/459,936
  6. Step 6: Final answer
    x = 191,268

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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.