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Finding the Fourth Proportional to 370,686.53, 511,548.17 and 200,920.77

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Solution

The fourth proportional to 370,686.53, 511,548.17 and 200,920.77 is: 277,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,686.53 : 511,548.17 = 200,920.77 : x
  2. Step 2: Convert to fraction form
    370,686.53/511,548.17 = 200,920.77/x
  3. Step 3: Cross multiply
    370,686.53x = 511,548.17 × 200,920.77
  4. Step 4: Simplify right side
    370,686.53x = 102,780,651,203.89
  5. Step 5: Solve for x
    x = 102,780,651,203.89/370,686.53
  6. Step 6: Final answer
    x = 277,271.07

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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.