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Finding the Fourth Proportional to 282,618.72, 390,015.12 and 155,296.80

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Solution

The fourth proportional to 282,618.72, 390,015.12 and 155,296.80 is: 214,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,618.72 : 390,015.12 = 155,296.80 : x
  2. Step 2: Convert to fraction form
    282,618.72/390,015.12 = 155,296.80/x
  3. Step 3: Cross multiply
    282,618.72x = 390,015.12 × 155,296.80
  4. Step 4: Simplify right side
    282,618.72x = 60,568,100,087.62
  5. Step 5: Solve for x
    x = 60,568,100,087.62/282,618.72
  6. Step 6: Final answer
    x = 214,310.29

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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.