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Finding the Fourth Proportional to 531,611.31, 733,641.32 and 289,907.11

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Solution

The fourth proportional to 531,611.31, 733,641.32 and 289,907.11 is: 400,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,611.31 : 733,641.32 = 289,907.11 : x
  2. Step 2: Convert to fraction form
    531,611.31/733,641.32 = 289,907.11/x
  3. Step 3: Cross multiply
    531,611.31x = 733,641.32 × 289,907.11
  4. Step 4: Simplify right side
    531,611.31x = 212,687,833,748.45
  5. Step 5: Solve for x
    x = 212,687,833,748.45/531,611.31
  6. Step 6: Final answer
    x = 400,081.47

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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.