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Finding the Fourth Proportional to 459,802.92, 689,704.38 and 127,370.28

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Solution

The fourth proportional to 459,802.92, 689,704.38 and 127,370.28 is: 191,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,802.92 : 689,704.38 = 127,370.28 : x
  2. Step 2: Convert to fraction form
    459,802.92/689,704.38 = 127,370.28/x
  3. Step 3: Cross multiply
    459,802.92x = 689,704.38 × 127,370.28
  4. Step 4: Simplify right side
    459,802.92x = 87,847,839,997.83
  5. Step 5: Solve for x
    x = 87,847,839,997.83/459,802.92
  6. Step 6: Final answer
    x = 191,055.42

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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.