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Finding the Fourth Proportional to 420,515.70, 580,302.42 and 229,532.28

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Solution

The fourth proportional to 420,515.70, 580,302.42 and 229,532.28 is: 316,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,515.70 : 580,302.42 = 229,532.28 : x
  2. Step 2: Convert to fraction form
    420,515.70/580,302.42 = 229,532.28/x
  3. Step 3: Cross multiply
    420,515.70x = 580,302.42 × 229,532.28
  4. Step 4: Simplify right side
    420,515.70x = 133,198,137,552.12
  5. Step 5: Solve for x
    x = 133,198,137,552.12/420,515.70
  6. Step 6: Final answer
    x = 316,749.50

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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.