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Finding the Fourth Proportional to 492,717.20, 739,075.80 and 193,098.20

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Solution

The fourth proportional to 492,717.20, 739,075.80 and 193,098.20 is: 289,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,717.20 : 739,075.80 = 193,098.20 : x
  2. Step 2: Convert to fraction form
    492,717.20/739,075.80 = 193,098.20/x
  3. Step 3: Cross multiply
    492,717.20x = 739,075.80 × 193,098.20
  4. Step 4: Simplify right side
    492,717.20x = 142,714,206,643.56
  5. Step 5: Solve for x
    x = 142,714,206,643.56/492,717.20
  6. Step 6: Final answer
    x = 289,647.30

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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.