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Finding the Fourth Proportional to 331,707.96, 457,475.31 and 280,277.01

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Solution

The fourth proportional to 331,707.96, 457,475.31 and 280,277.01 is: 386,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,707.96 : 457,475.31 = 280,277.01 : x
  2. Step 2: Convert to fraction form
    331,707.96/457,475.31 = 280,277.01/x
  3. Step 3: Cross multiply
    331,707.96x = 457,475.31 × 280,277.01
  4. Step 4: Simplify right side
    331,707.96x = 128,219,812,035.62
  5. Step 5: Solve for x
    x = 128,219,812,035.62/331,707.96
  6. Step 6: Final answer
    x = 386,544.27

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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.