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Finding the Fourth Proportional to 282,424.75, 389,752.94 and 155,103.08

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Solution

The fourth proportional to 282,424.75, 389,752.94 and 155,103.08 is: 214,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,424.75 : 389,752.94 = 155,103.08 : x
  2. Step 2: Convert to fraction form
    282,424.75/389,752.94 = 155,103.08/x
  3. Step 3: Cross multiply
    282,424.75x = 389,752.94 × 155,103.08
  4. Step 4: Simplify right side
    282,424.75x = 60,451,879,872.05
  5. Step 5: Solve for x
    x = 60,451,879,872.05/282,424.75
  6. Step 6: Final answer
    x = 214,045.97

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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.