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Finding the Fourth Proportional to 282,700.88, 389,810.55 and 264,764.75

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Solution

The fourth proportional to 282,700.88, 389,810.55 and 264,764.75 is: 365,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,700.88 : 389,810.55 = 264,764.75 : x
  2. Step 2: Convert to fraction form
    282,700.88/389,810.55 = 264,764.75/x
  3. Step 3: Cross multiply
    282,700.88x = 389,810.55 × 264,764.75
  4. Step 4: Simplify right side
    282,700.88x = 103,208,093,309.96
  5. Step 5: Solve for x
    x = 103,208,093,309.96/282,700.88
  6. Step 6: Final answer
    x = 365,078.78

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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.