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Finding the Fourth Proportional to 497,784.96, 686,940.48 and 271,425.60

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Solution

The fourth proportional to 497,784.96, 686,940.48 and 271,425.60 is: 374,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,784.96 : 686,940.48 = 271,425.60 : x
  2. Step 2: Convert to fraction form
    497,784.96/686,940.48 = 271,425.60/x
  3. Step 3: Cross multiply
    497,784.96x = 686,940.48 × 271,425.60
  4. Step 4: Simplify right side
    497,784.96x = 186,453,231,948.29
  5. Step 5: Solve for x
    x = 186,453,231,948.29/497,784.96
  6. Step 6: Final answer
    x = 374,565.82

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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.