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Finding the Fourth Proportional to 521,428.56, 719,571.36 and 282,964.56

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Solution

The fourth proportional to 521,428.56, 719,571.36 and 282,964.56 is: 390,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,428.56 : 719,571.36 = 282,964.56 : x
  2. Step 2: Convert to fraction form
    521,428.56/719,571.36 = 282,964.56/x
  3. Step 3: Cross multiply
    521,428.56x = 719,571.36 × 282,964.56
  4. Step 4: Simplify right side
    521,428.56x = 203,613,193,271.00
  5. Step 5: Solve for x
    x = 203,613,193,271.00/521,428.56
  6. Step 6: Final answer
    x = 390,491.06

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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.