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Finding the Fourth Proportional to 420,885.29, 580,636.76 and 257,549.57

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Solution

The fourth proportional to 420,885.29, 580,636.76 and 257,549.57 is: 355,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,885.29 : 580,636.76 = 257,549.57 : x
  2. Step 2: Convert to fraction form
    420,885.29/580,636.76 = 257,549.57/x
  3. Step 3: Cross multiply
    420,885.29x = 580,636.76 × 257,549.57
  4. Step 4: Simplify right side
    420,885.29x = 149,542,747,864.19
  5. Step 5: Solve for x
    x = 149,542,747,864.19/420,885.29
  6. Step 6: Final answer
    x = 355,305.24

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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.