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Finding the Fourth Proportional to 517,496.36, 776,200.08 and 315,039.92

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Solution

The fourth proportional to 517,496.36, 776,200.08 and 315,039.92 is: 472,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,496.36 : 776,200.08 = 315,039.92 : x
  2. Step 2: Convert to fraction form
    517,496.36/776,200.08 = 315,039.92/x
  3. Step 3: Cross multiply
    517,496.36x = 776,200.08 × 315,039.92
  4. Step 4: Simplify right side
    517,496.36x = 244,534,011,107.19
  5. Step 5: Solve for x
    x = 244,534,011,107.19/517,496.36
  6. Step 6: Final answer
    x = 472,532.81

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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.