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Finding the Fourth Proportional to 478,111.80, 659,796.69 and 274,170.40

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Solution

The fourth proportional to 478,111.80, 659,796.69 and 274,170.40 is: 378,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,111.80 : 659,796.69 = 274,170.40 : x
  2. Step 2: Convert to fraction form
    478,111.80/659,796.69 = 274,170.40/x
  3. Step 3: Cross multiply
    478,111.80x = 659,796.69 × 274,170.40
  4. Step 4: Simplify right side
    478,111.80x = 180,896,722,415.98
  5. Step 5: Solve for x
    x = 180,896,722,415.98/478,111.80
  6. Step 6: Final answer
    x = 378,356.53

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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.