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Finding the Fourth Proportional to 305,863.80, 458,795.70 and 282,244.20

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Solution

The fourth proportional to 305,863.80, 458,795.70 and 282,244.20 is: 423,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,863.80 : 458,795.70 = 282,244.20 : x
  2. Step 2: Convert to fraction form
    305,863.80/458,795.70 = 282,244.20/x
  3. Step 3: Cross multiply
    305,863.80x = 458,795.70 × 282,244.20
  4. Step 4: Simplify right side
    305,863.80x = 129,492,425,309.94
  5. Step 5: Solve for x
    x = 129,492,425,309.94/305,863.80
  6. Step 6: Final answer
    x = 423,366.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.