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Finding the Fourth Proportional to 420,595.86, 580,421.72 and 269,692.50

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Solution

The fourth proportional to 420,595.86, 580,421.72 and 269,692.50 is: 372,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,595.86 : 580,421.72 = 269,692.50 : x
  2. Step 2: Convert to fraction form
    420,595.86/580,421.72 = 269,692.50/x
  3. Step 3: Cross multiply
    420,595.86x = 580,421.72 × 269,692.50
  4. Step 4: Simplify right side
    420,595.86x = 156,535,384,721.10
  5. Step 5: Solve for x
    x = 156,535,384,721.10/420,595.86
  6. Step 6: Final answer
    x = 372,175.29

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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.