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Finding the Fourth Proportional to 412,706.10, 569,770.38 and 315,731.28

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Solution

The fourth proportional to 412,706.10, 569,770.38 and 315,731.28 is: 435,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,706.10 : 569,770.38 = 315,731.28 : x
  2. Step 2: Convert to fraction form
    412,706.10/569,770.38 = 315,731.28/x
  3. Step 3: Cross multiply
    412,706.10x = 569,770.38 × 315,731.28
  4. Step 4: Simplify right side
    412,706.10x = 179,894,331,383.49
  5. Step 5: Solve for x
    x = 179,894,331,383.49/412,706.10
  6. Step 6: Final answer
    x = 435,889.68

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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.