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Finding the Fourth Proportional to 279,360, 385,516.80 and 160,197.12

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Solution

The fourth proportional to 279,360, 385,516.80 and 160,197.12 is: 221,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,360 : 385,516.80 = 160,197.12 : x
  2. Step 2: Convert to fraction form
    279,360/385,516.80 = 160,197.12/x
  3. Step 3: Cross multiply
    279,360x = 385,516.80 × 160,197.12
  4. Step 4: Simplify right side
    279,360x = 61,758,681,071.62
  5. Step 5: Solve for x
    x = 61,758,681,071.62/279,360
  6. Step 6: Final answer
    x = 221,072.03

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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.