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Finding the Fourth Proportional to 492,728.80, 739,093.20 and 413,012.65

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Solution

The fourth proportional to 492,728.80, 739,093.20 and 413,012.65 is: 619,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,728.80 : 739,093.20 = 413,012.65 : x
  2. Step 2: Convert to fraction form
    492,728.80/739,093.20 = 413,012.65/x
  3. Step 3: Cross multiply
    492,728.80x = 739,093.20 × 413,012.65
  4. Step 4: Simplify right side
    492,728.80x = 305,254,841,128.98
  5. Step 5: Solve for x
    x = 305,254,841,128.98/492,728.80
  6. Step 6: Final answer
    x = 619,518.98

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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.