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Finding the Fourth Proportional to 531,458.42, 797,313.38 and 211,628.80

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Solution

The fourth proportional to 531,458.42, 797,313.38 and 211,628.80 is: 317,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,458.42 : 797,313.38 = 211,628.80 : x
  2. Step 2: Convert to fraction form
    531,458.42/797,313.38 = 211,628.80/x
  3. Step 3: Cross multiply
    531,458.42x = 797,313.38 × 211,628.80
  4. Step 4: Simplify right side
    531,458.42x = 168,734,473,771.84
  5. Step 5: Solve for x
    x = 168,734,473,771.84/531,458.42
  6. Step 6: Final answer
    x = 317,493.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.