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Finding the Fourth Proportional to 920,050, 1,380,075 and 255,202

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Solution

The fourth proportional to 920,050, 1,380,075 and 255,202 is: 382,803

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,050 : 1,380,075 = 255,202 : x
  2. Step 2: Convert to fraction form
    920,050/1,380,075 = 255,202/x
  3. Step 3: Cross multiply
    920,050x = 1,380,075 × 255,202
  4. Step 4: Simplify right side
    920,050x = 352,197,900,150
  5. Step 5: Solve for x
    x = 352,197,900,150/920,050
  6. Step 6: Final answer
    x = 382,803

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.