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Finding the Fourth Proportional to 419,583.60, 629,376 and 320,307.46

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Solution

The fourth proportional to 419,583.60, 629,376 and 320,307.46 is: 480,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,583.60 : 629,376 = 320,307.46 : x
  2. Step 2: Convert to fraction form
    419,583.60/629,376 = 320,307.46/x
  3. Step 3: Cross multiply
    419,583.60x = 629,376 × 320,307.46
  4. Step 4: Simplify right side
    419,583.60x = 201,593,827,944.96
  5. Step 5: Solve for x
    x = 201,593,827,944.96/419,583.60
  6. Step 6: Final answer
    x = 480,461.65

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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.