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Finding the Fourth Proportional to 420,595.36, 580,421.03 and 269,692

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Solution

The fourth proportional to 420,595.36, 580,421.03 and 269,692 is: 372,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,595.36 : 580,421.03 = 269,692 : x
  2. Step 2: Convert to fraction form
    420,595.36/580,421.03 = 269,692/x
  3. Step 3: Cross multiply
    420,595.36x = 580,421.03 × 269,692
  4. Step 4: Simplify right side
    420,595.36x = 156,534,908,422.76
  5. Step 5: Solve for x
    x = 156,534,908,422.76/420,595.36
  6. Step 6: Final answer
    x = 372,174.60

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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.