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Finding the Fourth Proportional to 255,918.32, 383,090.09 and 166,980.32

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Solution

The fourth proportional to 255,918.32, 383,090.09 and 166,980.32 is: 249,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,918.32 : 383,090.09 = 166,980.32 : x
  2. Step 2: Convert to fraction form
    255,918.32/383,090.09 = 166,980.32/x
  3. Step 3: Cross multiply
    255,918.32x = 383,090.09 × 166,980.32
  4. Step 4: Simplify right side
    255,918.32x = 63,968,503,066.68
  5. Step 5: Solve for x
    x = 63,968,503,066.68/255,918.32
  6. Step 6: Final answer
    x = 249,956.72

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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.