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Finding the Fourth Proportional to 531,900.43, 734,020.99 and 290,181.29

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Solution

The fourth proportional to 531,900.43, 734,020.99 and 290,181.29 is: 400,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,900.43 : 734,020.99 = 290,181.29 : x
  2. Step 2: Convert to fraction form
    531,900.43/734,020.99 = 290,181.29/x
  3. Step 3: Cross multiply
    531,900.43x = 734,020.99 × 290,181.29
  4. Step 4: Simplify right side
    531,900.43x = 212,999,153,369.72
  5. Step 5: Solve for x
    x = 212,999,153,369.72/531,900.43
  6. Step 6: Final answer
    x = 400,449.30

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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.