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Finding the Fourth Proportional to 512,446,502.70, 768,669,754.05 and 492,358,032.90

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Solution

The fourth proportional to 512,446,502.70, 768,669,754.05 and 492,358,032.90 is: 738,537,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,446,502.70 : 768,669,754.05 = 492,358,032.90 : x
  2. Step 2: Convert to fraction form
    512,446,502.70/768,669,754.05 = 492,358,032.90/x
  3. Step 3: Cross multiply
    512,446,502.70x = 768,669,754.05 × 492,358,032.90
  4. Step 4: Simplify right side
    512,446,502.70x = 378,460,728,053,784,768
  5. Step 5: Solve for x
    x = 378,460,728,053,784,768/512,446,502.70
  6. Step 6: Final answer
    x = 738,537,049.35

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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.