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Finding the Fourth Proportional to 420,230, 579,965.96 and 233,980.20

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Solution

The fourth proportional to 420,230, 579,965.96 and 233,980.20 is: 322,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,230 : 579,965.96 = 233,980.20 : x
  2. Step 2: Convert to fraction form
    420,230/579,965.96 = 233,980.20/x
  3. Step 3: Cross multiply
    420,230x = 579,965.96 × 233,980.20
  4. Step 4: Simplify right side
    420,230x = 135,700,551,313.99
  5. Step 5: Solve for x
    x = 135,700,551,313.99/420,230
  6. Step 6: Final answer
    x = 322,919.71

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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.