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Finding the Fourth Proportional to 683,931.90, 943,940.82 and 463,069

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Solution

The fourth proportional to 683,931.90, 943,940.82 and 463,069 is: 639,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,931.90 : 943,940.82 = 463,069 : x
  2. Step 2: Convert to fraction form
    683,931.90/943,940.82 = 463,069/x
  3. Step 3: Cross multiply
    683,931.90x = 943,940.82 × 463,069
  4. Step 4: Simplify right side
    683,931.90x = 437,109,731,576.58
  5. Step 5: Solve for x
    x = 437,109,731,576.58/683,931.90
  6. Step 6: Final answer
    x = 639,112.95

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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.