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Finding the Fourth Proportional to 462,518.08, 638,378 and 281,191.68

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Solution

The fourth proportional to 462,518.08, 638,378 and 281,191.68 is: 388,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,518.08 : 638,378 = 281,191.68 : x
  2. Step 2: Convert to fraction form
    462,518.08/638,378 = 281,191.68/x
  3. Step 3: Cross multiply
    462,518.08x = 638,378 × 281,191.68
  4. Step 4: Simplify right side
    462,518.08x = 179,506,582,295.04
  5. Step 5: Solve for x
    x = 179,506,582,295.04/462,518.08
  6. Step 6: Final answer
    x = 388,107.17

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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.