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Finding the Fourth Proportional to 645,253.22, 967,879.73 and 307,269.15

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Solution

The fourth proportional to 645,253.22, 967,879.73 and 307,269.15 is: 460,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,253.22 : 967,879.73 = 307,269.15 : x
  2. Step 2: Convert to fraction form
    645,253.22/967,879.73 = 307,269.15/x
  3. Step 3: Cross multiply
    645,253.22x = 967,879.73 × 307,269.15
  4. Step 4: Simplify right side
    645,253.22x = 297,399,579,077.95
  5. Step 5: Solve for x
    x = 297,399,579,077.95/645,253.22
  6. Step 6: Final answer
    x = 460,903.67

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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.