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Finding the Fourth Proportional to 654,059.40, 978,756.30 and 453,438.60

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Solution

The fourth proportional to 654,059.40, 978,756.30 and 453,438.60 is: 678,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,059.40 : 978,756.30 = 453,438.60 : x
  2. Step 2: Convert to fraction form
    654,059.40/978,756.30 = 453,438.60/x
  3. Step 3: Cross multiply
    654,059.40x = 978,756.30 × 453,438.60
  4. Step 4: Simplify right side
    654,059.40x = 443,805,886,413.18
  5. Step 5: Solve for x
    x = 443,805,886,413.18/654,059.40
  6. Step 6: Final answer
    x = 678,540.64

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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.