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Finding the Fourth Proportional to 519,974.70, 780,075.45 and 295,442.70

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Solution

The fourth proportional to 519,974.70, 780,075.45 and 295,442.70 is: 443,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,974.70 : 780,075.45 = 295,442.70 : x
  2. Step 2: Convert to fraction form
    519,974.70/780,075.45 = 295,442.70/x
  3. Step 3: Cross multiply
    519,974.70x = 780,075.45 × 295,442.70
  4. Step 4: Simplify right side
    519,974.70x = 230,467,597,151.72
  5. Step 5: Solve for x
    x = 230,467,597,151.72/519,974.70
  6. Step 6: Final answer
    x = 443,228.48

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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.