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Finding the Fourth Proportional to 340,636.78, 470,056.26 and 204,589.89

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Solution

The fourth proportional to 340,636.78, 470,056.26 and 204,589.89 is: 282,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,636.78 : 470,056.26 = 204,589.89 : x
  2. Step 2: Convert to fraction form
    340,636.78/470,056.26 = 204,589.89/x
  3. Step 3: Cross multiply
    340,636.78x = 470,056.26 × 204,589.89
  4. Step 4: Simplify right side
    340,636.78x = 96,168,756,176.93
  5. Step 5: Solve for x
    x = 96,168,756,176.93/340,636.78
  6. Step 6: Final answer
    x = 282,320.53

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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.