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Finding the Fourth Proportional to 540,993.28, 746,626.52 and 311,558.08

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Solution

The fourth proportional to 540,993.28, 746,626.52 and 311,558.08 is: 429,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,993.28 : 746,626.52 = 311,558.08 : x
  2. Step 2: Convert to fraction form
    540,993.28/746,626.52 = 311,558.08/x
  3. Step 3: Cross multiply
    540,993.28x = 746,626.52 × 311,558.08
  4. Step 4: Simplify right side
    540,993.28x = 232,617,525,048.28
  5. Step 5: Solve for x
    x = 232,617,525,048.28/540,993.28
  6. Step 6: Final answer
    x = 429,982.28

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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.