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Finding the Fourth Proportional to 497,759.60, 686,906.52 and 271,405.16

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Solution

The fourth proportional to 497,759.60, 686,906.52 and 271,405.16 is: 374,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,759.60 : 686,906.52 = 271,405.16 : x
  2. Step 2: Convert to fraction form
    497,759.60/686,906.52 = 271,405.16/x
  3. Step 3: Cross multiply
    497,759.60x = 686,906.52 × 271,405.16
  4. Step 4: Simplify right side
    497,759.60x = 186,429,973,965.64
  5. Step 5: Solve for x
    x = 186,429,973,965.64/497,759.60
  6. Step 6: Final answer
    x = 374,538.18

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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.