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Finding the Fourth Proportional to 421,778.16, 582,053.84 and 230,791.56

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Solution

The fourth proportional to 421,778.16, 582,053.84 and 230,791.56 is: 318,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,778.16 : 582,053.84 = 230,791.56 : x
  2. Step 2: Convert to fraction form
    421,778.16/582,053.84 = 230,791.56/x
  3. Step 3: Cross multiply
    421,778.16x = 582,053.84 × 230,791.56
  4. Step 4: Simplify right side
    421,778.16x = 134,333,113,737.59
  5. Step 5: Solve for x
    x = 134,333,113,737.59/421,778.16
  6. Step 6: Final answer
    x = 318,492.34

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1.5x scale

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.