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Finding the Fourth Proportional to 648,052.70, 971,949.45 and 311,092.70

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Solution

The fourth proportional to 648,052.70, 971,949.45 and 311,092.70 is: 466,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,052.70 : 971,949.45 = 311,092.70 : x
  2. Step 2: Convert to fraction form
    648,052.70/971,949.45 = 311,092.70/x
  3. Step 3: Cross multiply
    648,052.70x = 971,949.45 × 311,092.70
  4. Step 4: Simplify right side
    648,052.70x = 302,366,378,664.02
  5. Step 5: Solve for x
    x = 302,366,378,664.02/648,052.70
  6. Step 6: Final answer
    x = 466,576.84

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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.