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Finding the Fourth Proportional to 420,158.76, 580,103.01 and 323,190.42

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Solution

The fourth proportional to 420,158.76, 580,103.01 and 323,190.42 is: 446,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,158.76 : 580,103.01 = 323,190.42 : x
  2. Step 2: Convert to fraction form
    420,158.76/580,103.01 = 323,190.42/x
  3. Step 3: Cross multiply
    420,158.76x = 580,103.01 × 323,190.42
  4. Step 4: Simplify right side
    420,158.76x = 187,483,735,445.16
  5. Step 5: Solve for x
    x = 187,483,735,445.16/420,158.76
  6. Step 6: Final answer
    x = 446,221.17

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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.