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Finding the Fourth Proportional to 370,784.58, 511,686.09 and 201,019.11

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Solution

The fourth proportional to 370,784.58, 511,686.09 and 201,019.11 is: 277,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,784.58 : 511,686.09 = 201,019.11 : x
  2. Step 2: Convert to fraction form
    370,784.58/511,686.09 = 201,019.11/x
  3. Step 3: Cross multiply
    370,784.58x = 511,686.09 × 201,019.11
  4. Step 4: Simplify right side
    370,784.58x = 102,858,682,411.18
  5. Step 5: Solve for x
    x = 102,858,682,411.18/370,784.58
  6. Step 6: Final answer
    x = 277,408.20

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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.