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Finding the Fourth Proportional to 629,468, 943,515.12 and 309,839.84

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Solution

The fourth proportional to 629,468, 943,515.12 and 309,839.84 is: 464,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,468 : 943,515.12 = 309,839.84 : x
  2. Step 2: Convert to fraction form
    629,468/943,515.12 = 309,839.84/x
  3. Step 3: Cross multiply
    629,468x = 943,515.12 × 309,839.84
  4. Step 4: Simplify right side
    629,468x = 292,338,573,818.38
  5. Step 5: Solve for x
    x = 292,338,573,818.38/629,468
  6. Step 6: Final answer
    x = 464,421.66

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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.