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Finding the Fourth Proportional to 497,785.96, 686,941.86 and 271,426.60

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Solution

The fourth proportional to 497,785.96, 686,941.86 and 271,426.60 is: 374,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,785.96 : 686,941.86 = 271,426.60 : x
  2. Step 2: Convert to fraction form
    497,785.96/686,941.86 = 271,426.60/x
  3. Step 3: Cross multiply
    497,785.96x = 686,941.86 × 271,426.60
  4. Step 4: Simplify right side
    497,785.96x = 186,454,293,457.48
  5. Step 5: Solve for x
    x = 186,454,293,457.48/497,785.96
  6. Step 6: Final answer
    x = 374,567.20

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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.