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Finding the Fourth Proportional to 462,621.74, 638,171.74 and 281,389.10

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Solution

The fourth proportional to 462,621.74, 638,171.74 and 281,389.10 is: 388,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,621.74 : 638,171.74 = 281,389.10 : x
  2. Step 2: Convert to fraction form
    462,621.74/638,171.74 = 281,389.10/x
  3. Step 3: Cross multiply
    462,621.74x = 638,171.74 × 281,389.10
  4. Step 4: Simplify right side
    462,621.74x = 179,574,571,564.03
  5. Step 5: Solve for x
    x = 179,574,571,564.03/462,621.74
  6. Step 6: Final answer
    x = 388,167.17

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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.