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Finding the Fourth Proportional to 683,933.90, 943,943.58 and 463,071

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Solution

The fourth proportional to 683,933.90, 943,943.58 and 463,071 is: 639,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,933.90 : 943,943.58 = 463,071 : x
  2. Step 2: Convert to fraction form
    683,933.90/943,943.58 = 463,071/x
  3. Step 3: Cross multiply
    683,933.90x = 943,943.58 × 463,071
  4. Step 4: Simplify right side
    683,933.90x = 437,112,897,534.18
  5. Step 5: Solve for x
    x = 437,112,897,534.18/683,933.90
  6. Step 6: Final answer
    x = 639,115.71

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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.