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Finding the Fourth Proportional to 282,103.65, 389,303.51 and 154,780.16

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Solution

The fourth proportional to 282,103.65, 389,303.51 and 154,780.16 is: 213,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,103.65 : 389,303.51 = 154,780.16 : x
  2. Step 2: Convert to fraction form
    282,103.65/389,303.51 = 154,780.16/x
  3. Step 3: Cross multiply
    282,103.65x = 389,303.51 × 154,780.16
  4. Step 4: Simplify right side
    282,103.65x = 60,256,456,845.94
  5. Step 5: Solve for x
    x = 60,256,456,845.94/282,103.65
  6. Step 6: Final answer
    x = 213,596.87

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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.