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Finding the Fourth Proportional to 646,398.96, 969,664.64 and 247,375.36

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Solution

The fourth proportional to 646,398.96, 969,664.64 and 247,375.36 is: 371,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,398.96 : 969,664.64 = 247,375.36 : x
  2. Step 2: Convert to fraction form
    646,398.96/969,664.64 = 247,375.36/x
  3. Step 3: Cross multiply
    646,398.96x = 969,664.64 × 247,375.36
  4. Step 4: Simplify right side
    646,398.96x = 239,871,139,399.27
  5. Step 5: Solve for x
    x = 239,871,139,399.27/646,398.96
  6. Step 6: Final answer
    x = 371,088.37

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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.