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Finding the Fourth Proportional to 420,459.92, 580,052.67 and 257,123.57

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Solution

The fourth proportional to 420,459.92, 580,052.67 and 257,123.57 is: 354,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,459.92 : 580,052.67 = 257,123.57 : x
  2. Step 2: Convert to fraction form
    420,459.92/580,052.67 = 257,123.57/x
  3. Step 3: Cross multiply
    420,459.92x = 580,052.67 × 257,123.57
  4. Step 4: Simplify right side
    420,459.92x = 149,145,211,609.15
  5. Step 5: Solve for x
    x = 149,145,211,609.15/420,459.92
  6. Step 6: Final answer
    x = 354,719.21

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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.