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Finding the Fourth Proportional to 371,330.73, 512,435.97 and 201,564.86

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Solution

The fourth proportional to 371,330.73, 512,435.97 and 201,564.86 is: 278,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,330.73 : 512,435.97 = 201,564.86 : x
  2. Step 2: Convert to fraction form
    371,330.73/512,435.97 = 201,564.86/x
  3. Step 3: Cross multiply
    371,330.73x = 512,435.97 × 201,564.86
  4. Step 4: Simplify right side
    371,330.73x = 103,289,081,989.83
  5. Step 5: Solve for x
    x = 103,289,081,989.83/371,330.73
  6. Step 6: Final answer
    x = 278,159.26

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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.