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Finding the Fourth Proportional to 370,478.48, 511,262.73 and 200,712.60

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Solution

The fourth proportional to 370,478.48, 511,262.73 and 200,712.60 is: 276,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,478.48 : 511,262.73 = 200,712.60 : x
  2. Step 2: Convert to fraction form
    370,478.48/511,262.73 = 200,712.60/x
  3. Step 3: Cross multiply
    370,478.48x = 511,262.73 × 200,712.60
  4. Step 4: Simplify right side
    370,478.48x = 102,616,871,821.40
  5. Step 5: Solve for x
    x = 102,616,871,821.40/370,478.48
  6. Step 6: Final answer
    x = 276,984.71

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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.