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Finding the Fourth Proportional to 433,628.16, 649,767.94 and 300,768

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Solution

The fourth proportional to 433,628.16, 649,767.94 and 300,768 is: 450,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,628.16 : 649,767.94 = 300,768 : x
  2. Step 2: Convert to fraction form
    433,628.16/649,767.94 = 300,768/x
  3. Step 3: Cross multiply
    433,628.16x = 649,767.94 × 300,768
  4. Step 4: Simplify right side
    433,628.16x = 195,429,403,777.92
  5. Step 5: Solve for x
    x = 195,429,403,777.92/433,628.16
  6. Step 6: Final answer
    x = 450,684.30

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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.