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Finding the Fourth Proportional to 290,471.10, 405,830.10 and 290,471.10

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Solution

The fourth proportional to 290,471.10, 405,830.10 and 290,471.10 is: 405,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,471.10 : 405,830.10 = 290,471.10 : x
  2. Step 2: Convert to fraction form
    290,471.10/405,830.10 = 290,471.10/x
  3. Step 3: Cross multiply
    290,471.10x = 405,830.10 × 290,471.10
  4. Step 4: Simplify right side
    290,471.10x = 117,881,915,560.11
  5. Step 5: Solve for x
    x = 117,881,915,560.11/290,471.10
  6. Step 6: Final answer
    x = 405,830.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.