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Finding the Fourth Proportional to 462,468.47, 638,309.43 and 281,142

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Solution

The fourth proportional to 462,468.47, 638,309.43 and 281,142 is: 388,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,468.47 : 638,309.43 = 281,142 : x
  2. Step 2: Convert to fraction form
    462,468.47/638,309.43 = 281,142/x
  3. Step 3: Cross multiply
    462,468.47x = 638,309.43 × 281,142
  4. Step 4: Simplify right side
    462,468.47x = 179,455,589,769.06
  5. Step 5: Solve for x
    x = 179,455,589,769.06/462,468.47
  6. Step 6: Final answer
    x = 388,038.54

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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.