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Finding the Fourth Proportional to 412,728, 569,564.64 and 243,066.48

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Solution

The fourth proportional to 412,728, 569,564.64 and 243,066.48 is: 335,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,728 : 569,564.64 = 243,066.48 : x
  2. Step 2: Convert to fraction form
    412,728/569,564.64 = 243,066.48/x
  3. Step 3: Cross multiply
    412,728x = 569,564.64 × 243,066.48
  4. Step 4: Simplify right side
    412,728x = 138,442,072,177.27
  5. Step 5: Solve for x
    x = 138,442,072,177.27/412,728
  6. Step 6: Final answer
    x = 335,431.74

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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.