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Finding the Fourth Proportional to 339,415.95, 509,149.44 and 102,777.69

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Solution

The fourth proportional to 339,415.95, 509,149.44 and 102,777.69 is: 154,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,415.95 : 509,149.44 = 102,777.69 : x
  2. Step 2: Convert to fraction form
    339,415.95/509,149.44 = 102,777.69/x
  3. Step 3: Cross multiply
    339,415.95x = 509,149.44 × 102,777.69
  4. Step 4: Simplify right side
    339,415.95x = 52,329,203,307.99
  5. Step 5: Solve for x
    x = 52,329,203,307.99/339,415.95
  6. Step 6: Final answer
    x = 154,174.26

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1.5x scale

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.