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Finding the Fourth Proportional to 497,663,999.10, 746,495,998.65 and 445,259,979.90

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Solution

The fourth proportional to 497,663,999.10, 746,495,998.65 and 445,259,979.90 is: 667,889,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,663,999.10 : 746,495,998.65 = 445,259,979.90 : x
  2. Step 2: Convert to fraction form
    497,663,999.10/746,495,998.65 = 445,259,979.90/x
  3. Step 3: Cross multiply
    497,663,999.10x = 746,495,998.65 × 445,259,979.90
  4. Step 4: Simplify right side
    497,663,999.10x = 332,384,793,354,329,408
  5. Step 5: Solve for x
    x = 332,384,793,354,329,408/497,663,999.10
  6. Step 6: Final answer
    x = 667,889,969.85

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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.