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Finding the Fourth Proportional to 420,779.82, 580,678.29 and 229,793.22

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Solution

The fourth proportional to 420,779.82, 580,678.29 and 229,793.22 is: 317,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,779.82 : 580,678.29 = 229,793.22 : x
  2. Step 2: Convert to fraction form
    420,779.82/580,678.29 = 229,793.22/x
  3. Step 3: Cross multiply
    420,779.82x = 580,678.29 × 229,793.22
  4. Step 4: Simplify right side
    420,779.82x = 133,435,934,043.19
  5. Step 5: Solve for x
    x = 133,435,934,043.19/420,779.82
  6. Step 6: Final answer
    x = 317,115.81

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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.