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Finding the Fourth Proportional to 531,522.64, 733,487.70 and 289,805.68

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Solution

The fourth proportional to 531,522.64, 733,487.70 and 289,805.68 is: 399,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,522.64 : 733,487.70 = 289,805.68 : x
  2. Step 2: Convert to fraction form
    531,522.64/733,487.70 = 289,805.68/x
  3. Step 3: Cross multiply
    531,522.64x = 733,487.70 × 289,805.68
  4. Step 4: Simplify right side
    531,522.64x = 212,568,901,670.14
  5. Step 5: Solve for x
    x = 212,568,901,670.14/531,522.64
  6. Step 6: Final answer
    x = 399,924.45

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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.