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Finding the Fourth Proportional to 279,136, 385,207.68 and 158,238.64

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Solution

The fourth proportional to 279,136, 385,207.68 and 158,238.64 is: 218,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,136 : 385,207.68 = 158,238.64 : x
  2. Step 2: Convert to fraction form
    279,136/385,207.68 = 158,238.64/x
  3. Step 3: Cross multiply
    279,136x = 385,207.68 × 158,238.64
  4. Step 4: Simplify right side
    279,136x = 60,954,739,400.76
  5. Step 5: Solve for x
    x = 60,954,739,400.76/279,136
  6. Step 6: Final answer
    x = 218,369.32

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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.