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Finding the Fourth Proportional to 305,018.82, 420,400.17 and 202,861.53

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Solution

The fourth proportional to 305,018.82, 420,400.17 and 202,861.53 is: 279,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,018.82 : 420,400.17 = 202,861.53 : x
  2. Step 2: Convert to fraction form
    305,018.82/420,400.17 = 202,861.53/x
  3. Step 3: Cross multiply
    305,018.82x = 420,400.17 × 202,861.53
  4. Step 4: Simplify right side
    305,018.82x = 85,283,021,698.46
  5. Step 5: Solve for x
    x = 85,283,021,698.46/305,018.82
  6. Step 6: Final answer
    x = 279,599.21

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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.