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Finding the Fourth Proportional to 531,878.78, 733,991.74 and 290,161.36

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Solution

The fourth proportional to 531,878.78, 733,991.74 and 290,161.36 is: 400,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,878.78 : 733,991.74 = 290,161.36 : x
  2. Step 2: Convert to fraction form
    531,878.78/733,991.74 = 290,161.36/x
  3. Step 3: Cross multiply
    531,878.78x = 733,991.74 × 290,161.36
  4. Step 4: Simplify right side
    531,878.78x = 212,976,041,507.17
  5. Step 5: Solve for x
    x = 212,976,041,507.17/531,878.78
  6. Step 6: Final answer
    x = 400,422.14

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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.