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Finding the Fourth Proportional to 420,153.73, 579,861.16 and 238,892.82

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Solution

The fourth proportional to 420,153.73, 579,861.16 and 238,892.82 is: 329,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,153.73 : 579,861.16 = 238,892.82 : x
  2. Step 2: Convert to fraction form
    420,153.73/579,861.16 = 238,892.82/x
  3. Step 3: Cross multiply
    420,153.73x = 579,861.16 × 238,892.82
  4. Step 4: Simplify right side
    420,153.73x = 138,524,667,720.87
  5. Step 5: Solve for x
    x = 138,524,667,720.87/420,153.73
  6. Step 6: Final answer
    x = 329,699.96

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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.