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Finding the Fourth Proportional to 521,313.88, 719,393.52 and 294,964.24

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Solution

The fourth proportional to 521,313.88, 719,393.52 and 294,964.24 is: 407,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,313.88 : 719,393.52 = 294,964.24 : x
  2. Step 2: Convert to fraction form
    521,313.88/719,393.52 = 294,964.24/x
  3. Step 3: Cross multiply
    521,313.88x = 719,393.52 × 294,964.24
  4. Step 4: Simplify right side
    521,313.88x = 212,195,362,887.73
  5. Step 5: Solve for x
    x = 212,195,362,887.73/521,313.88
  6. Step 6: Final answer
    x = 407,039.54

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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.