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Finding the Fourth Proportional to 282,234.84, 389,488.68 and 154,922.28

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Solution

The fourth proportional to 282,234.84, 389,488.68 and 154,922.28 is: 213,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,234.84 : 389,488.68 = 154,922.28 : x
  2. Step 2: Convert to fraction form
    282,234.84/389,488.68 = 154,922.28/x
  3. Step 3: Cross multiply
    282,234.84x = 389,488.68 × 154,922.28
  4. Step 4: Simplify right side
    282,234.84x = 60,340,474,339.79
  5. Step 5: Solve for x
    x = 60,340,474,339.79/282,234.84
  6. Step 6: Final answer
    x = 213,795.27

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1.5x scale

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.