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Finding the Fourth Proportional to 462,653.76, 638,426.72 and 281,340.64

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Solution

The fourth proportional to 462,653.76, 638,426.72 and 281,340.64 is: 388,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,653.76 : 638,426.72 = 281,340.64 : x
  2. Step 2: Convert to fraction form
    462,653.76/638,426.72 = 281,340.64/x
  3. Step 3: Cross multiply
    462,653.76x = 638,426.72 × 281,340.64
  4. Step 4: Simplify right side
    462,653.76x = 179,615,381,997.90
  5. Step 5: Solve for x
    x = 179,615,381,997.90/462,653.76
  6. Step 6: Final answer
    x = 388,228.51

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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.