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Finding the Fourth Proportional to 470,131, 648,780.78 and 268,927

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Solution

The fourth proportional to 470,131, 648,780.78 and 268,927 is: 371,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,131 : 648,780.78 = 268,927 : x
  2. Step 2: Convert to fraction form
    470,131/648,780.78 = 268,927/x
  3. Step 3: Cross multiply
    470,131x = 648,780.78 × 268,927
  4. Step 4: Simplify right side
    470,131x = 174,474,668,823.06
  5. Step 5: Solve for x
    x = 174,474,668,823.06/470,131
  6. Step 6: Final answer
    x = 371,119.26

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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.