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Finding the Fourth Proportional to 531,215.92, 733,056.60 and 289,493.34

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Solution

The fourth proportional to 531,215.92, 733,056.60 and 289,493.34 is: 399,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,215.92 : 733,056.60 = 289,493.34 : x
  2. Step 2: Convert to fraction form
    531,215.92/733,056.60 = 289,493.34/x
  3. Step 3: Cross multiply
    531,215.92x = 733,056.60 × 289,493.34
  4. Step 4: Simplify right side
    531,215.92x = 212,215,003,543.04
  5. Step 5: Solve for x
    x = 212,215,003,543.04/531,215.92
  6. Step 6: Final answer
    x = 399,489.16

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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.