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Finding the Fourth Proportional to 462,472.64, 638,285.28 and 281,241.44

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Solution

The fourth proportional to 462,472.64, 638,285.28 and 281,241.44 is: 388,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,472.64 : 638,285.28 = 281,241.44 : x
  2. Step 2: Convert to fraction form
    462,472.64/638,285.28 = 281,241.44/x
  3. Step 3: Cross multiply
    462,472.64x = 638,285.28 × 281,241.44
  4. Step 4: Simplify right side
    462,472.64x = 179,512,271,278.00
  5. Step 5: Solve for x
    x = 179,512,271,278.00/462,472.64
  6. Step 6: Final answer
    x = 388,157.60

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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.