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Finding the Fourth Proportional to 427,089.78, 589,375.71 and 236,099.07

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Solution

The fourth proportional to 427,089.78, 589,375.71 and 236,099.07 is: 325,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,089.78 : 589,375.71 = 236,099.07 : x
  2. Step 2: Convert to fraction form
    427,089.78/589,375.71 = 236,099.07/x
  3. Step 3: Cross multiply
    427,089.78x = 589,375.71 × 236,099.07
  4. Step 4: Simplify right side
    427,089.78x = 139,151,057,011.59
  5. Step 5: Solve for x
    x = 139,151,057,011.59/427,089.78
  6. Step 6: Final answer
    x = 325,812.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.