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Finding the Fourth Proportional to 305,238.66, 420,814.89 and 257,408.16

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Solution

The fourth proportional to 305,238.66, 420,814.89 and 257,408.16 is: 354,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,238.66 : 420,814.89 = 257,408.16 : x
  2. Step 2: Convert to fraction form
    305,238.66/420,814.89 = 257,408.16/x
  3. Step 3: Cross multiply
    305,238.66x = 420,814.89 × 257,408.16
  4. Step 4: Simplify right side
    305,238.66x = 108,321,186,535.50
  5. Step 5: Solve for x
    x = 108,321,186,535.50/305,238.66
  6. Step 6: Final answer
    x = 354,873.75

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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.