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Finding the Fourth Proportional to 282,012.80, 388,914 and 224,841.92

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Solution

The fourth proportional to 282,012.80, 388,914 and 224,841.92 is: 310,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,012.80 : 388,914 = 224,841.92 : x
  2. Step 2: Convert to fraction form
    282,012.80/388,914 = 224,841.92/x
  3. Step 3: Cross multiply
    282,012.80x = 388,914 × 224,841.92
  4. Step 4: Simplify right side
    282,012.80x = 87,444,170,474.88
  5. Step 5: Solve for x
    x = 87,444,170,474.88/282,012.80
  6. Step 6: Final answer
    x = 310,071.64

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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.