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Finding the Fourth Proportional to 531,411.73, 733,321.02 and 289,670.47

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Solution

The fourth proportional to 531,411.73, 733,321.02 and 289,670.47 is: 399,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,411.73 : 733,321.02 = 289,670.47 : x
  2. Step 2: Convert to fraction form
    531,411.73/733,321.02 = 289,670.47/x
  3. Step 3: Cross multiply
    531,411.73x = 733,321.02 × 289,670.47
  4. Step 4: Simplify right side
    531,411.73x = 212,421,444,524.28
  5. Step 5: Solve for x
    x = 212,421,444,524.28/531,411.73
  6. Step 6: Final answer
    x = 399,730.44

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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.