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Finding the Fourth Proportional to 306,636.80, 459,080.40 and 188,538.80

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Solution

The fourth proportional to 306,636.80, 459,080.40 and 188,538.80 is: 282,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,636.80 : 459,080.40 = 188,538.80 : x
  2. Step 2: Convert to fraction form
    306,636.80/459,080.40 = 188,538.80/x
  3. Step 3: Cross multiply
    306,636.80x = 459,080.40 × 188,538.80
  4. Step 4: Simplify right side
    306,636.80x = 86,554,467,719.52
  5. Step 5: Solve for x
    x = 86,554,467,719.52/306,636.80
  6. Step 6: Final answer
    x = 282,270.32

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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.