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Finding the Fourth Proportional to 497,779.40, 746,669.10 and 409,205.90

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Solution

The fourth proportional to 497,779.40, 746,669.10 and 409,205.90 is: 613,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,779.40 : 746,669.10 = 409,205.90 : x
  2. Step 2: Convert to fraction form
    497,779.40/746,669.10 = 409,205.90/x
  3. Step 3: Cross multiply
    497,779.40x = 746,669.10 × 409,205.90
  4. Step 4: Simplify right side
    497,779.40x = 305,541,401,067.69
  5. Step 5: Solve for x
    x = 305,541,401,067.69/497,779.40
  6. Step 6: Final answer
    x = 613,808.85

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Similar ratio
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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.