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Finding the Fourth Proportional to 531,211, 733,071.20 and 292,747

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Solution

The fourth proportional to 531,211, 733,071.20 and 292,747 is: 403,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,211 : 733,071.20 = 292,747 : x
  2. Step 2: Convert to fraction form
    531,211/733,071.20 = 292,747/x
  3. Step 3: Cross multiply
    531,211x = 733,071.20 × 292,747
  4. Step 4: Simplify right side
    531,211x = 214,604,393,122.67
  5. Step 5: Solve for x
    x = 214,604,393,122.67/531,211
  6. Step 6: Final answer
    x = 403,990.87

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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.