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Finding the Fourth Proportional to 571,783.78, 789,072.14 and 313,673.90

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Solution

The fourth proportional to 571,783.78, 789,072.14 and 313,673.90 is: 432,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,783.78 : 789,072.14 = 313,673.90 : x
  2. Step 2: Convert to fraction form
    571,783.78/789,072.14 = 313,673.90/x
  3. Step 3: Cross multiply
    571,783.78x = 789,072.14 × 313,673.90
  4. Step 4: Simplify right side
    571,783.78x = 247,511,335,939.46
  5. Step 5: Solve for x
    x = 247,511,335,939.46/571,783.78
  6. Step 6: Final answer
    x = 432,875.76

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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.