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Finding the Fourth Proportional to 491,206.40, 737,198.40 and 191,830.40

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Solution

The fourth proportional to 491,206.40, 737,198.40 and 191,830.40 is: 287,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,206.40 : 737,198.40 = 191,830.40 : x
  2. Step 2: Convert to fraction form
    491,206.40/737,198.40 = 191,830.40/x
  3. Step 3: Cross multiply
    491,206.40x = 737,198.40 × 191,830.40
  4. Step 4: Simplify right side
    491,206.40x = 141,417,063,951.36
  5. Step 5: Solve for x
    x = 141,417,063,951.36/491,206.40
  6. Step 6: Final answer
    x = 287,897.44

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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.