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Finding the Fourth Proportional to 339,306.22, 509,075.70 and 212,793.67

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Solution

The fourth proportional to 339,306.22, 509,075.70 and 212,793.67 is: 319,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,306.22 : 509,075.70 = 212,793.67 : x
  2. Step 2: Convert to fraction form
    339,306.22/509,075.70 = 212,793.67/x
  3. Step 3: Cross multiply
    339,306.22x = 509,075.70 × 212,793.67
  4. Step 4: Simplify right side
    339,306.22x = 108,328,086,510.82
  5. Step 5: Solve for x
    x = 108,328,086,510.82/339,306.22
  6. Step 6: Final answer
    x = 319,263.49

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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.