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Finding the Fourth Proportional to 370,284.33, 510,989.41 and 200,518.46

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Solution

The fourth proportional to 370,284.33, 510,989.41 and 200,518.46 is: 276,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,284.33 : 510,989.41 = 200,518.46 : x
  2. Step 2: Convert to fraction form
    370,284.33/510,989.41 = 200,518.46/x
  3. Step 3: Cross multiply
    370,284.33x = 510,989.41 × 200,518.46
  4. Step 4: Simplify right side
    370,284.33x = 102,462,809,569.51
  5. Step 5: Solve for x
    x = 102,462,809,569.51/370,284.33
  6. Step 6: Final answer
    x = 276,713.87

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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.