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Finding the Fourth Proportional to 281,240.64, 422,152.56 and 188,395.20

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Solution

The fourth proportional to 281,240.64, 422,152.56 and 188,395.20 is: 282,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,240.64 : 422,152.56 = 188,395.20 : x
  2. Step 2: Convert to fraction form
    281,240.64/422,152.56 = 188,395.20/x
  3. Step 3: Cross multiply
    281,240.64x = 422,152.56 × 188,395.20
  4. Step 4: Simplify right side
    281,240.64x = 79,531,515,971.71
  5. Step 5: Solve for x
    x = 79,531,515,971.71/281,240.64
  6. Step 6: Final answer
    x = 282,788.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.