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Finding the Fourth Proportional to 412,236.79, 569,164.94 and 257,424.60

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Solution

The fourth proportional to 412,236.79, 569,164.94 and 257,424.60 is: 355,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,236.79 : 569,164.94 = 257,424.60 : x
  2. Step 2: Convert to fraction form
    412,236.79/569,164.94 = 257,424.60/x
  3. Step 3: Cross multiply
    412,236.79x = 569,164.94 × 257,424.60
  4. Step 4: Simplify right side
    412,236.79x = 146,517,057,013.52
  5. Step 5: Solve for x
    x = 146,517,057,013.52/412,236.79
  6. Step 6: Final answer
    x = 355,419.65

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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.