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Finding the Fourth Proportional to 282,055, 389,247.42 and 162,823

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Solution

The fourth proportional to 282,055, 389,247.42 and 162,823 is: 224,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,055 : 389,247.42 = 162,823 : x
  2. Step 2: Convert to fraction form
    282,055/389,247.42 = 162,823/x
  3. Step 3: Cross multiply
    282,055x = 389,247.42 × 162,823
  4. Step 4: Simplify right side
    282,055x = 63,378,432,666.66
  5. Step 5: Solve for x
    x = 63,378,432,666.66/282,055
  6. Step 6: Final answer
    x = 224,702.39

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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.