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Finding the Fourth Proportional to 517,496.88, 776,200.83 and 315,040.41

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Solution

The fourth proportional to 517,496.88, 776,200.83 and 315,040.41 is: 472,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,496.88 : 776,200.83 = 315,040.41 : x
  2. Step 2: Convert to fraction form
    517,496.88/776,200.83 = 315,040.41/x
  3. Step 3: Cross multiply
    517,496.88x = 776,200.83 × 315,040.41
  4. Step 4: Simplify right side
    517,496.88x = 244,534,627,725.54
  5. Step 5: Solve for x
    x = 244,534,627,725.54/517,496.88
  6. Step 6: Final answer
    x = 472,533.53

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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.