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Finding the Fourth Proportional to 647,076.84, 970,617.65 and 197,795.96

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Solution

The fourth proportional to 647,076.84, 970,617.65 and 197,795.96 is: 296,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,076.84 : 970,617.65 = 197,795.96 : x
  2. Step 2: Convert to fraction form
    647,076.84/970,617.65 = 197,795.96/x
  3. Step 3: Cross multiply
    647,076.84x = 970,617.65 × 197,795.96
  4. Step 4: Simplify right side
    647,076.84x = 191,984,251,312.26
  5. Step 5: Solve for x
    x = 191,984,251,312.26/647,076.84
  6. Step 6: Final answer
    x = 296,694.67

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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.