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Finding the Fourth Proportional to 645,605.50, 968,563.86 and 202,373.50

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Solution

The fourth proportional to 645,605.50, 968,563.86 and 202,373.50 is: 303,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,605.50 : 968,563.86 = 202,373.50 : x
  2. Step 2: Convert to fraction form
    645,605.50/968,563.86 = 202,373.50/x
  3. Step 3: Cross multiply
    645,605.50x = 968,563.86 × 202,373.50
  4. Step 4: Simplify right side
    645,605.50x = 196,011,658,321.71
  5. Step 5: Solve for x
    x = 196,011,658,321.71/645,605.50
  6. Step 6: Final answer
    x = 303,609.03

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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.