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Finding the Fourth Proportional to 492,099,868.70, 738,093,815.85 and 128,630,966.30

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Solution

The fourth proportional to 492,099,868.70, 738,093,815.85 and 128,630,966.30 is: 192,931,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,099,868.70 : 738,093,815.85 = 128,630,966.30 : x
  2. Step 2: Convert to fraction form
    492,099,868.70/738,093,815.85 = 128,630,966.30/x
  3. Step 3: Cross multiply
    492,099,868.70x = 738,093,815.85 × 128,630,966.30
  4. Step 4: Simplify right side
    492,099,868.70x = 94,941,720,752,839,760
  5. Step 5: Solve for x
    x = 94,941,720,752,839,760/492,099,868.70
  6. Step 6: Final answer
    x = 192,931,814.84

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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.