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Finding the Fourth Proportional to 462,474.48, 638,317.74 and 281,148

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Solution

The fourth proportional to 462,474.48, 638,317.74 and 281,148 is: 388,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,474.48 : 638,317.74 = 281,148 : x
  2. Step 2: Convert to fraction form
    462,474.48/638,317.74 = 281,148/x
  3. Step 3: Cross multiply
    462,474.48x = 638,317.74 × 281,148
  4. Step 4: Simplify right side
    462,474.48x = 179,461,755,965.52
  5. Step 5: Solve for x
    x = 179,461,755,965.52/462,474.48
  6. Step 6: Final answer
    x = 388,046.83

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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.