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Finding the Fourth Proportional to 645,768.55, 968,652.96 and 196,449.40

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Solution

The fourth proportional to 645,768.55, 968,652.96 and 196,449.40 is: 294,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,768.55 : 968,652.96 = 196,449.40 : x
  2. Step 2: Convert to fraction form
    645,768.55/968,652.96 = 196,449.40/x
  3. Step 3: Cross multiply
    645,768.55x = 968,652.96 × 196,449.40
  4. Step 4: Simplify right side
    645,768.55x = 190,291,292,800.22
  5. Step 5: Solve for x
    x = 190,291,292,800.22/645,768.55
  6. Step 6: Final answer
    x = 294,674.14

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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.