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Finding the Fourth Proportional to 497,431.76, 686,453.56 and 271,077.20

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Solution

The fourth proportional to 497,431.76, 686,453.56 and 271,077.20 is: 374,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,431.76 : 686,453.56 = 271,077.20 : x
  2. Step 2: Convert to fraction form
    497,431.76/686,453.56 = 271,077.20/x
  3. Step 3: Cross multiply
    497,431.76x = 686,453.56 × 271,077.20
  4. Step 4: Simplify right side
    497,431.76x = 186,081,908,974.83
  5. Step 5: Solve for x
    x = 186,081,908,974.83/497,431.76
  6. Step 6: Final answer
    x = 374,085.30

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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.