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Finding the Fourth Proportional to 462,871.48, 638,505.40 and 269,257.40

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Solution

The fourth proportional to 462,871.48, 638,505.40 and 269,257.40 is: 371,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,871.48 : 638,505.40 = 269,257.40 : x
  2. Step 2: Convert to fraction form
    462,871.48/638,505.40 = 269,257.40/x
  3. Step 3: Cross multiply
    462,871.48x = 638,505.40 × 269,257.40
  4. Step 4: Simplify right side
    462,871.48x = 171,922,303,889.96
  5. Step 5: Solve for x
    x = 171,922,303,889.96/462,871.48
  6. Step 6: Final answer
    x = 371,425.57

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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.