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Finding the Fourth Proportional to 257,830.20, 386,745.30 and 80,351.46

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Solution

The fourth proportional to 257,830.20, 386,745.30 and 80,351.46 is: 120,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,830.20 : 386,745.30 = 80,351.46 : x
  2. Step 2: Convert to fraction form
    257,830.20/386,745.30 = 80,351.46/x
  3. Step 3: Cross multiply
    257,830.20x = 386,745.30 × 80,351.46
  4. Step 4: Simplify right side
    257,830.20x = 31,075,549,503.14
  5. Step 5: Solve for x
    x = 31,075,549,503.14/257,830.20
  6. Step 6: Final answer
    x = 120,527.19

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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.