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Finding the Fourth Proportional to 648,872.86, 973,401.90 and 199,631.20

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Solution

The fourth proportional to 648,872.86, 973,401.90 and 199,631.20 is: 299,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,872.86 : 973,401.90 = 199,631.20 : x
  2. Step 2: Convert to fraction form
    648,872.86/973,401.90 = 199,631.20/x
  3. Step 3: Cross multiply
    648,872.86x = 973,401.90 × 199,631.20
  4. Step 4: Simplify right side
    648,872.86x = 194,321,389,379.28
  5. Step 5: Solve for x
    x = 194,321,389,379.28/648,872.86
  6. Step 6: Final answer
    x = 299,475.29

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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.