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Finding the Fourth Proportional to 345,849, 477,271.68 and 186,873

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Solution

The fourth proportional to 345,849, 477,271.68 and 186,873 is: 257,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,849 : 477,271.68 = 186,873 : x
  2. Step 2: Convert to fraction form
    345,849/477,271.68 = 186,873/x
  3. Step 3: Cross multiply
    345,849x = 477,271.68 × 186,873
  4. Step 4: Simplify right side
    345,849x = 89,189,190,656.64
  5. Step 5: Solve for x
    x = 89,189,190,656.64/345,849
  6. Step 6: Final answer
    x = 257,884.77

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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.