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Finding the Fourth Proportional to 531,375.82, 733,292.67 and 289,653.10

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Solution

The fourth proportional to 531,375.82, 733,292.67 and 289,653.10 is: 399,718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,375.82 : 733,292.67 = 289,653.10 : x
  2. Step 2: Convert to fraction form
    531,375.82/733,292.67 = 289,653.10/x
  3. Step 3: Cross multiply
    531,375.82x = 733,292.67 × 289,653.10
  4. Step 4: Simplify right side
    531,375.82x = 212,400,495,072.78
  5. Step 5: Solve for x
    x = 212,400,495,072.78/531,375.82
  6. Step 6: Final answer
    x = 399,718.03

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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.