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Finding the Fourth Proportional to 300,802.76, 414,952.53 and 203,973.87

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Solution

The fourth proportional to 300,802.76, 414,952.53 and 203,973.87 is: 281,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,802.76 : 414,952.53 = 203,973.87 : x
  2. Step 2: Convert to fraction form
    300,802.76/414,952.53 = 203,973.87/x
  3. Step 3: Cross multiply
    300,802.76x = 414,952.53 × 203,973.87
  4. Step 4: Simplify right side
    300,802.76x = 84,639,474,468.70
  5. Step 5: Solve for x
    x = 84,639,474,468.70/300,802.76
  6. Step 6: Final answer
    x = 281,378.65

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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.