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Finding the Fourth Proportional to 282,021.88, 389,190.19 and 154,697.77

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Solution

The fourth proportional to 282,021.88, 389,190.19 and 154,697.77 is: 213,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,021.88 : 389,190.19 = 154,697.77 : x
  2. Step 2: Convert to fraction form
    282,021.88/389,190.19 = 154,697.77/x
  3. Step 3: Cross multiply
    282,021.88x = 389,190.19 × 154,697.77
  4. Step 4: Simplify right side
    282,021.88x = 60,206,855,085.11
  5. Step 5: Solve for x
    x = 60,206,855,085.11/282,021.88
  6. Step 6: Final answer
    x = 213,482.93

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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.