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Finding the Fourth Proportional to 462,617.40, 638,376.48 and 281,304.48

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Solution

The fourth proportional to 462,617.40, 638,376.48 and 281,304.48 is: 388,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,617.40 : 638,376.48 = 281,304.48 : x
  2. Step 2: Convert to fraction form
    462,617.40/638,376.48 = 281,304.48/x
  3. Step 3: Cross multiply
    462,617.40x = 638,376.48 × 281,304.48
  4. Step 4: Simplify right side
    462,617.40x = 179,578,163,750.63
  5. Step 5: Solve for x
    x = 179,578,163,750.63/462,617.40
  6. Step 6: Final answer
    x = 388,178.58

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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.