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Finding the Fourth Proportional to 645,162.84, 967,677.84 and 195,865.56

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Solution

The fourth proportional to 645,162.84, 967,677.84 and 195,865.56 is: 293,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,162.84 : 967,677.84 = 195,865.56 : x
  2. Step 2: Convert to fraction form
    645,162.84/967,677.84 = 195,865.56/x
  3. Step 3: Cross multiply
    645,162.84x = 967,677.84 × 195,865.56
  4. Step 4: Simplify right side
    645,162.84x = 189,534,762,031.19
  5. Step 5: Solve for x
    x = 189,534,762,031.19/645,162.84
  6. Step 6: Final answer
    x = 293,778.18

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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.