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Finding the Fourth Proportional to 419,590.60, 629,386.50 and 320,314.46

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Solution

The fourth proportional to 419,590.60, 629,386.50 and 320,314.46 is: 480,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,590.60 : 629,386.50 = 320,314.46 : x
  2. Step 2: Convert to fraction form
    419,590.60/629,386.50 = 320,314.46/x
  3. Step 3: Cross multiply
    419,590.60x = 629,386.50 × 320,314.46
  4. Step 4: Simplify right side
    419,590.60x = 201,601,596,878.79
  5. Step 5: Solve for x
    x = 201,601,596,878.79/419,590.60
  6. Step 6: Final answer
    x = 480,472.15

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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.