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Finding the Fourth Proportional to 370,751.72, 511,636.19 and 200,985.84

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Solution

The fourth proportional to 370,751.72, 511,636.19 and 200,985.84 is: 277,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,751.72 : 511,636.19 = 200,985.84 : x
  2. Step 2: Convert to fraction form
    370,751.72/511,636.19 = 200,985.84/x
  3. Step 3: Cross multiply
    370,751.72x = 511,636.19 × 200,985.84
  4. Step 4: Simplify right side
    370,751.72x = 102,831,628,416.62
  5. Step 5: Solve for x
    x = 102,831,628,416.62/370,751.72
  6. Step 6: Final answer
    x = 277,359.82

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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.