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Finding the Fourth Proportional to 490,756.86, 677,243.70 and 275,897.34

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Solution

The fourth proportional to 490,756.86, 677,243.70 and 275,897.34 is: 380,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,756.86 : 677,243.70 = 275,897.34 : x
  2. Step 2: Convert to fraction form
    490,756.86/677,243.70 = 275,897.34/x
  3. Step 3: Cross multiply
    490,756.86x = 677,243.70 × 275,897.34
  4. Step 4: Simplify right side
    490,756.86x = 186,849,735,361.76
  5. Step 5: Solve for x
    x = 186,849,735,361.76/490,756.86
  6. Step 6: Final answer
    x = 380,737.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.