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Finding the Fourth Proportional to 420,305.54, 580,023.54 and 229,322.93

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Solution

The fourth proportional to 420,305.54, 580,023.54 and 229,322.93 is: 316,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,305.54 : 580,023.54 = 229,322.93 : x
  2. Step 2: Convert to fraction form
    420,305.54/580,023.54 = 229,322.93/x
  3. Step 3: Cross multiply
    420,305.54x = 580,023.54 × 229,322.93
  4. Step 4: Simplify right side
    420,305.54x = 133,012,694,761.66
  5. Step 5: Solve for x
    x = 133,012,694,761.66/420,305.54
  6. Step 6: Final answer
    x = 316,466.67

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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.