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Finding the Fourth Proportional to 521,646.60, 783,420.30 and 311,694.60

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Solution

The fourth proportional to 521,646.60, 783,420.30 and 311,694.60 is: 468,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,646.60 : 783,420.30 = 311,694.60 : x
  2. Step 2: Convert to fraction form
    521,646.60/783,420.30 = 311,694.60/x
  3. Step 3: Cross multiply
    521,646.60x = 783,420.30 × 311,694.60
  4. Step 4: Simplify right side
    521,646.60x = 244,187,877,040.38
  5. Step 5: Solve for x
    x = 244,187,877,040.38/521,646.60
  6. Step 6: Final answer
    x = 468,109.78

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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.