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Finding the Fourth Proportional to 421,014.57, 580,993.32 and 230,023.86

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Solution

The fourth proportional to 421,014.57, 580,993.32 and 230,023.86 is: 317,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,014.57 : 580,993.32 = 230,023.86 : x
  2. Step 2: Convert to fraction form
    421,014.57/580,993.32 = 230,023.86/x
  3. Step 3: Cross multiply
    421,014.57x = 580,993.32 × 230,023.86
  4. Step 4: Simplify right side
    421,014.57x = 133,642,326,100.62
  5. Step 5: Solve for x
    x = 133,642,326,100.62/421,014.57
  6. Step 6: Final answer
    x = 317,429.22

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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.