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Finding the Fourth Proportional to 377,000.70, 565,391.70 and 137,086.80

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Solution

The fourth proportional to 377,000.70, 565,391.70 and 137,086.80 is: 205,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,000.70 : 565,391.70 = 137,086.80 : x
  2. Step 2: Convert to fraction form
    377,000.70/565,391.70 = 137,086.80/x
  3. Step 3: Cross multiply
    377,000.70x = 565,391.70 × 137,086.80
  4. Step 4: Simplify right side
    377,000.70x = 77,507,738,899.56
  5. Step 5: Solve for x
    x = 77,507,738,899.56/377,000.70
  6. Step 6: Final answer
    x = 205,590.44

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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.