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Finding the Fourth Proportional to 531,809.81, 733,902.21 and 290,093.45

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Solution

The fourth proportional to 531,809.81, 733,902.21 and 290,093.45 is: 400,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,809.81 : 733,902.21 = 290,093.45 : x
  2. Step 2: Convert to fraction form
    531,809.81/733,902.21 = 290,093.45/x
  3. Step 3: Cross multiply
    531,809.81x = 733,902.21 × 290,093.45
  4. Step 4: Simplify right side
    531,809.81x = 212,900,220,392.01
  5. Step 5: Solve for x
    x = 212,900,220,392.01/531,809.81
  6. Step 6: Final answer
    x = 400,331.51

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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.