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Finding the Fourth Proportional to 462,668.18, 638,483.78 and 269,122.32

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Solution

The fourth proportional to 462,668.18, 638,483.78 and 269,122.32 is: 371,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,668.18 : 638,483.78 = 269,122.32 : x
  2. Step 2: Convert to fraction form
    462,668.18/638,483.78 = 269,122.32/x
  3. Step 3: Cross multiply
    462,668.18x = 638,483.78 × 269,122.32
  4. Step 4: Simplify right side
    462,668.18x = 171,830,236,828.78
  5. Step 5: Solve for x
    x = 171,830,236,828.78/462,668.18
  6. Step 6: Final answer
    x = 371,389.79

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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.