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Finding the Fourth Proportional to 522,698.56, 783,425.76 and 300,616

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Solution

The fourth proportional to 522,698.56, 783,425.76 and 300,616 is: 450,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,698.56 : 783,425.76 = 300,616 : x
  2. Step 2: Convert to fraction form
    522,698.56/783,425.76 = 300,616/x
  3. Step 3: Cross multiply
    522,698.56x = 783,425.76 × 300,616
  4. Step 4: Simplify right side
    522,698.56x = 235,510,318,268.16
  5. Step 5: Solve for x
    x = 235,510,318,268.16/522,698.56
  6. Step 6: Final answer
    x = 450,566.23

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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.