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Finding the Fourth Proportional to 893,662,912.70, 1,340,494,369.05 and 829,165,658.30

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Solution

The fourth proportional to 893,662,912.70, 1,340,494,369.05 and 829,165,658.30 is: 1,243,748,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,662,912.70 : 1,340,494,369.05 = 829,165,658.30 : x
  2. Step 2: Convert to fraction form
    893,662,912.70/1,340,494,369.05 = 829,165,658.30/x
  3. Step 3: Cross multiply
    893,662,912.70x = 1,340,494,369.05 × 829,165,658.30
  4. Step 4: Simplify right side
    893,662,912.70x = 1,111,491,895,960,786,304
  5. Step 5: Solve for x
    x = 1,111,491,895,960,786,304/893,662,912.70
  6. Step 6: Final answer
    x = 1,243,748,487.45

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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.