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Finding the Fourth Proportional to 390,230.10, 585,463.05 and 185,222.09

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Solution

The fourth proportional to 390,230.10, 585,463.05 and 185,222.09 is: 277,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,230.10 : 585,463.05 = 185,222.09 : x
  2. Step 2: Convert to fraction form
    390,230.10/585,463.05 = 185,222.09/x
  3. Step 3: Cross multiply
    390,230.10x = 585,463.05 × 185,222.09
  4. Step 4: Simplify right side
    390,230.10x = 108,440,691,202.43
  5. Step 5: Solve for x
    x = 108,440,691,202.43/390,230.10
  6. Step 6: Final answer
    x = 277,889.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.