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Finding the Fourth Proportional to 279,498.26, 385,742.43 and 158,678.66

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Solution

The fourth proportional to 279,498.26, 385,742.43 and 158,678.66 is: 218,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,498.26 : 385,742.43 = 158,678.66 : x
  2. Step 2: Convert to fraction form
    279,498.26/385,742.43 = 158,678.66/x
  3. Step 3: Cross multiply
    279,498.26x = 385,742.43 × 158,678.66
  4. Step 4: Simplify right side
    279,498.26x = 61,209,089,968.83
  5. Step 5: Solve for x
    x = 61,209,089,968.83/279,498.26
  6. Step 6: Final answer
    x = 218,996.32

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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.