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Finding the Fourth Proportional to 835,782, 1,153,379.16 and 478,086

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Solution

The fourth proportional to 835,782, 1,153,379.16 and 478,086 is: 659,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,782 : 1,153,379.16 = 478,086 : x
  2. Step 2: Convert to fraction form
    835,782/1,153,379.16 = 478,086/x
  3. Step 3: Cross multiply
    835,782x = 1,153,379.16 × 478,086
  4. Step 4: Simplify right side
    835,782x = 551,414,429,087.76
  5. Step 5: Solve for x
    x = 551,414,429,087.76/835,782
  6. Step 6: Final answer
    x = 659,758.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.