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Finding the Fourth Proportional to 379,714.48, 524,016.48 and 209,954.68

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Solution

The fourth proportional to 379,714.48, 524,016.48 and 209,954.68 is: 289,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,714.48 : 524,016.48 = 209,954.68 : x
  2. Step 2: Convert to fraction form
    379,714.48/524,016.48 = 209,954.68/x
  3. Step 3: Cross multiply
    379,714.48x = 524,016.48 × 209,954.68
  4. Step 4: Simplify right side
    379,714.48x = 110,019,712,373.13
  5. Step 5: Solve for x
    x = 110,019,712,373.13/379,714.48
  6. Step 6: Final answer
    x = 289,743.26

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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.