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Finding the Fourth Proportional to 355,877.96, 491,090.40 and 194,700.92

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Solution

The fourth proportional to 355,877.96, 491,090.40 and 194,700.92 is: 268,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,877.96 : 491,090.40 = 194,700.92 : x
  2. Step 2: Convert to fraction form
    355,877.96/491,090.40 = 194,700.92/x
  3. Step 3: Cross multiply
    355,877.96x = 491,090.40 × 194,700.92
  4. Step 4: Simplify right side
    355,877.96x = 95,615,752,683.17
  5. Step 5: Solve for x
    x = 95,615,752,683.17/355,877.96
  6. Step 6: Final answer
    x = 268,675.68

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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.