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Finding the Fourth Proportional to 420,811.40, 580,723.45 and 239,535

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Solution

The fourth proportional to 420,811.40, 580,723.45 and 239,535 is: 330,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,811.40 : 580,723.45 = 239,535 : x
  2. Step 2: Convert to fraction form
    420,811.40/580,723.45 = 239,535/x
  3. Step 3: Cross multiply
    420,811.40x = 580,723.45 × 239,535
  4. Step 4: Simplify right side
    420,811.40x = 139,103,591,595.75
  5. Step 5: Solve for x
    x = 139,103,591,595.75/420,811.40
  6. Step 6: Final answer
    x = 330,560.42

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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.