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Finding the Fourth Proportional to 647,762.66, 971,673.03 and 198,450.66

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Solution

The fourth proportional to 647,762.66, 971,673.03 and 198,450.66 is: 297,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,762.66 : 971,673.03 = 198,450.66 : x
  2. Step 2: Convert to fraction form
    647,762.66/971,673.03 = 198,450.66/x
  3. Step 3: Cross multiply
    647,762.66x = 971,673.03 × 198,450.66
  4. Step 4: Simplify right side
    647,762.66x = 192,829,154,107.70
  5. Step 5: Solve for x
    x = 192,829,154,107.70/647,762.66
  6. Step 6: Final answer
    x = 297,684.89

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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.