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Finding the Fourth Proportional to 319,466.07, 440,667.81 and 204,706.08

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Solution

The fourth proportional to 319,466.07, 440,667.81 and 204,706.08 is: 282,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,466.07 : 440,667.81 = 204,706.08 : x
  2. Step 2: Convert to fraction form
    319,466.07/440,667.81 = 204,706.08/x
  3. Step 3: Cross multiply
    319,466.07x = 440,667.81 × 204,706.08
  4. Step 4: Simplify right side
    319,466.07x = 90,207,379,967.28
  5. Step 5: Solve for x
    x = 90,207,379,967.28/319,466.07
  6. Step 6: Final answer
    x = 282,369.20

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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.