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Finding the Fourth Proportional to 491,711.84, 737,403.52 and 192,114.72

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Solution

The fourth proportional to 491,711.84, 737,403.52 and 192,114.72 is: 288,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,711.84 : 737,403.52 = 192,114.72 : x
  2. Step 2: Convert to fraction form
    491,711.84/737,403.52 = 192,114.72/x
  3. Step 3: Cross multiply
    491,711.84x = 737,403.52 × 192,114.72
  4. Step 4: Simplify right side
    491,711.84x = 141,666,070,771.81
  5. Step 5: Solve for x
    x = 141,666,070,771.81/491,711.84
  6. Step 6: Final answer
    x = 288,107.91

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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.