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Finding the Fourth Proportional to 370,146.87, 510,804.34 and 200,381.00

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Solution

The fourth proportional to 370,146.87, 510,804.34 and 200,381.00 is: 276,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,146.87 : 510,804.34 = 200,381.00 : x
  2. Step 2: Convert to fraction form
    370,146.87/510,804.34 = 200,381.00/x
  3. Step 3: Cross multiply
    370,146.87x = 510,804.34 × 200,381.00
  4. Step 4: Simplify right side
    370,146.87x = 102,355,481,398.57
  5. Step 5: Solve for x
    x = 102,355,481,398.57/370,146.87
  6. Step 6: Final answer
    x = 276,526.67

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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.