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Finding the Fourth Proportional to 420,277.14, 580,027.14 and 257,029.16

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Solution

The fourth proportional to 420,277.14, 580,027.14 and 257,029.16 is: 354,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,277.14 : 580,027.14 = 257,029.16 : x
  2. Step 2: Convert to fraction form
    420,277.14/580,027.14 = 257,029.16/x
  3. Step 3: Cross multiply
    420,277.14x = 580,027.14 × 257,029.16
  4. Step 4: Simplify right side
    420,277.14x = 149,083,885,671.27
  5. Step 5: Solve for x
    x = 149,083,885,671.27/420,277.14
  6. Step 6: Final answer
    x = 354,727.56

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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.