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Finding the Fourth Proportional to 420,524.65, 580,065.46 and 299,705.05

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Solution

The fourth proportional to 420,524.65, 580,065.46 and 299,705.05 is: 413,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,524.65 : 580,065.46 = 299,705.05 : x
  2. Step 2: Convert to fraction form
    420,524.65/580,065.46 = 299,705.05/x
  3. Step 3: Cross multiply
    420,524.65x = 580,065.46 × 299,705.05
  4. Step 4: Simplify right side
    420,524.65x = 173,848,547,692.57
  5. Step 5: Solve for x
    x = 173,848,547,692.57/420,524.65
  6. Step 6: Final answer
    x = 413,408.70

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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.