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Finding the Fourth Proportional to 491,055.40, 736,194.30 and 269,439.40

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Solution

The fourth proportional to 491,055.40, 736,194.30 and 269,439.40 is: 403,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,055.40 : 736,194.30 = 269,439.40 : x
  2. Step 2: Convert to fraction form
    491,055.40/736,194.30 = 269,439.40/x
  3. Step 3: Cross multiply
    491,055.40x = 736,194.30 × 269,439.40
  4. Step 4: Simplify right side
    491,055.40x = 198,359,750,475.42
  5. Step 5: Solve for x
    x = 198,359,750,475.42/491,055.40
  6. Step 6: Final answer
    x = 403,945.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.