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Finding the Fourth Proportional to 305,289.53, 420,812.94 and 240,653.44

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Solution

The fourth proportional to 305,289.53, 420,812.94 and 240,653.44 is: 331,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,289.53 : 420,812.94 = 240,653.44 : x
  2. Step 2: Convert to fraction form
    305,289.53/420,812.94 = 240,653.44/x
  3. Step 3: Cross multiply
    305,289.53x = 420,812.94 × 240,653.44
  4. Step 4: Simplify right side
    305,289.53x = 101,270,081,607.51
  5. Step 5: Solve for x
    x = 101,270,081,607.51/305,289.53
  6. Step 6: Final answer
    x = 331,718.16

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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.