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Finding the Fourth Proportional to 420,412.23, 580,017.24 and 323,645.67

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Solution

The fourth proportional to 420,412.23, 580,017.24 and 323,645.67 is: 446,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,412.23 : 580,017.24 = 323,645.67 : x
  2. Step 2: Convert to fraction form
    420,412.23/580,017.24 = 323,645.67/x
  3. Step 3: Cross multiply
    420,412.23x = 580,017.24 × 323,645.67
  4. Step 4: Simplify right side
    420,412.23x = 187,720,068,251.35
  5. Step 5: Solve for x
    x = 187,720,068,251.35/420,412.23
  6. Step 6: Final answer
    x = 446,514.29

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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.