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Finding the Fourth Proportional to 420,633.96, 580,471.89 and 229,647.33

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Solution

The fourth proportional to 420,633.96, 580,471.89 and 229,647.33 is: 316,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,633.96 : 580,471.89 = 229,647.33 : x
  2. Step 2: Convert to fraction form
    420,633.96/580,471.89 = 229,647.33/x
  3. Step 3: Cross multiply
    420,633.96x = 580,471.89 × 229,647.33
  4. Step 4: Simplify right side
    420,633.96x = 133,303,819,678.55
  5. Step 5: Solve for x
    x = 133,303,819,678.55/420,633.96
  6. Step 6: Final answer
    x = 316,911.69

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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.