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Finding the Fourth Proportional to 418,283.76, 627,359.76 and 347,659.86

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Solution

The fourth proportional to 418,283.76, 627,359.76 and 347,659.86 is: 521,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,283.76 : 627,359.76 = 347,659.86 : x
  2. Step 2: Convert to fraction form
    418,283.76/627,359.76 = 347,659.86/x
  3. Step 3: Cross multiply
    418,283.76x = 627,359.76 × 347,659.86
  4. Step 4: Simplify right side
    418,283.76x = 218,107,806,331.23
  5. Step 5: Solve for x
    x = 218,107,806,331.23/418,283.76
  6. Step 6: Final answer
    x = 521,435.03

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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.