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Finding the Fourth Proportional to 648,679.90, 973,112.72 and 199,438.49

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Solution

The fourth proportional to 648,679.90, 973,112.72 and 199,438.49 is: 299,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,679.90 : 973,112.72 = 199,438.49 : x
  2. Step 2: Convert to fraction form
    648,679.90/973,112.72 = 199,438.49/x
  3. Step 3: Cross multiply
    648,679.90x = 973,112.72 × 199,438.49
  4. Step 4: Simplify right side
    648,679.90x = 194,076,131,476.59
  5. Step 5: Solve for x
    x = 194,076,131,476.59/648,679.90
  6. Step 6: Final answer
    x = 299,186.29

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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.