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Finding the Fourth Proportional to 531,194.79, 733,027.48 and 289,472.21

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Solution

The fourth proportional to 531,194.79, 733,027.48 and 289,472.21 is: 399,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,194.79 : 733,027.48 = 289,472.21 : x
  2. Step 2: Convert to fraction form
    531,194.79/733,027.48 = 289,472.21/x
  3. Step 3: Cross multiply
    531,194.79x = 733,027.48 × 289,472.21
  4. Step 4: Simplify right side
    531,194.79x = 212,191,084,626.33
  5. Step 5: Solve for x
    x = 212,191,084,626.33/531,194.79
  6. Step 6: Final answer
    x = 399,460.03

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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.