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Finding the Fourth Proportional to 531,203.64, 733,034.91 and 289,485.48

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Solution

The fourth proportional to 531,203.64, 733,034.91 and 289,485.48 is: 399,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,203.64 : 733,034.91 = 289,485.48 : x
  2. Step 2: Convert to fraction form
    531,203.64/733,034.91 = 289,485.48/x
  3. Step 3: Cross multiply
    531,203.64x = 733,034.91 × 289,485.48
  4. Step 4: Simplify right side
    531,203.64x = 212,202,962,778.11
  5. Step 5: Solve for x
    x = 212,202,962,778.11/531,203.64
  6. Step 6: Final answer
    x = 399,475.73

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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.