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Finding the Fourth Proportional to 462,869.48, 638,502.64 and 269,255.40

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Solution

The fourth proportional to 462,869.48, 638,502.64 and 269,255.40 is: 371,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,869.48 : 638,502.64 = 269,255.40 : x
  2. Step 2: Convert to fraction form
    462,869.48/638,502.64 = 269,255.40/x
  3. Step 3: Cross multiply
    462,869.48x = 638,502.64 × 269,255.40
  4. Step 4: Simplify right side
    462,869.48x = 171,920,283,734.26
  5. Step 5: Solve for x
    x = 171,920,283,734.26/462,869.48
  6. Step 6: Final answer
    x = 371,422.81

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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.