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Finding the Fourth Proportional to 501,507.16, 691,898.26 and 329,517.76

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Solution

The fourth proportional to 501,507.16, 691,898.26 and 329,517.76 is: 454,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,507.16 : 691,898.26 = 329,517.76 : x
  2. Step 2: Convert to fraction form
    501,507.16/691,898.26 = 329,517.76/x
  3. Step 3: Cross multiply
    501,507.16x = 691,898.26 × 329,517.76
  4. Step 4: Simplify right side
    501,507.16x = 227,992,764,783.10
  5. Step 5: Solve for x
    x = 227,992,764,783.10/501,507.16
  6. Step 6: Final answer
    x = 454,615.17

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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.