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Finding the Fourth Proportional to 492,315.80, 738,408.06 and 137,300.08

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Solution

The fourth proportional to 492,315.80, 738,408.06 and 137,300.08 is: 205,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,315.80 : 738,408.06 = 137,300.08 : x
  2. Step 2: Convert to fraction form
    492,315.80/738,408.06 = 137,300.08/x
  3. Step 3: Cross multiply
    492,315.80x = 738,408.06 × 137,300.08
  4. Step 4: Simplify right side
    492,315.80x = 101,383,485,710.65
  5. Step 5: Solve for x
    x = 101,383,485,710.65/492,315.80
  6. Step 6: Final answer
    x = 205,931.81

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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.