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Finding the Fourth Proportional to 491,454.40, 737,570.40 and 192,078.40

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Solution

The fourth proportional to 491,454.40, 737,570.40 and 192,078.40 is: 288,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,454.40 : 737,570.40 = 192,078.40 : x
  2. Step 2: Convert to fraction form
    491,454.40/737,570.40 = 192,078.40/x
  3. Step 3: Cross multiply
    491,454.40x = 737,570.40 × 192,078.40
  4. Step 4: Simplify right side
    491,454.40x = 141,671,342,319.36
  5. Step 5: Solve for x
    x = 141,671,342,319.36/491,454.40
  6. Step 6: Final answer
    x = 288,269.56

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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.