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Finding the Fourth Proportional to 497,710.60, 746,565.90 and 419,950.60

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Solution

The fourth proportional to 497,710.60, 746,565.90 and 419,950.60 is: 629,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,710.60 : 746,565.90 = 419,950.60 : x
  2. Step 2: Convert to fraction form
    497,710.60/746,565.90 = 419,950.60/x
  3. Step 3: Cross multiply
    497,710.60x = 746,565.90 × 419,950.60
  4. Step 4: Simplify right side
    497,710.60x = 313,520,797,644.54
  5. Step 5: Solve for x
    x = 313,520,797,644.54/497,710.60
  6. Step 6: Final answer
    x = 629,925.90

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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.