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Finding the Fourth Proportional to 421,920.90, 582,249.87 and 230,932.62

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Solution

The fourth proportional to 421,920.90, 582,249.87 and 230,932.62 is: 318,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,920.90 : 582,249.87 = 230,932.62 : x
  2. Step 2: Convert to fraction form
    421,920.90/582,249.87 = 230,932.62/x
  3. Step 3: Cross multiply
    421,920.90x = 582,249.87 × 230,932.62
  4. Step 4: Simplify right side
    421,920.90x = 134,460,487,973.76
  5. Step 5: Solve for x
    x = 134,460,487,973.76/421,920.90
  6. Step 6: Final answer
    x = 318,686.48

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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.