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Finding the Fourth Proportional to 722,690.46, 997,286.31 and 416,779.70

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Solution

The fourth proportional to 722,690.46, 997,286.31 and 416,779.70 is: 575,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,690.46 : 997,286.31 = 416,779.70 : x
  2. Step 2: Convert to fraction form
    722,690.46/997,286.31 = 416,779.70/x
  3. Step 3: Cross multiply
    722,690.46x = 997,286.31 × 416,779.70
  4. Step 4: Simplify right side
    722,690.46x = 415,648,684,109.48
  5. Step 5: Solve for x
    x = 415,648,684,109.48/722,690.46
  6. Step 6: Final answer
    x = 575,140.68

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Why These Related Problems?

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