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Finding the Fourth Proportional to 313,038.85, 431,993.57 and 177,069.87

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Solution

The fourth proportional to 313,038.85, 431,993.57 and 177,069.87 is: 244,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,038.85 : 431,993.57 = 177,069.87 : x
  2. Step 2: Convert to fraction form
    313,038.85/431,993.57 = 177,069.87/x
  3. Step 3: Cross multiply
    313,038.85x = 431,993.57 × 177,069.87
  4. Step 4: Simplify right side
    313,038.85x = 76,493,045,280.74
  5. Step 5: Solve for x
    x = 76,493,045,280.74/313,038.85
  6. Step 6: Final answer
    x = 244,356.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.