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Finding the Fourth Proportional to 517,494.36, 776,197.08 and 315,037.92

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Solution

The fourth proportional to 517,494.36, 776,197.08 and 315,037.92 is: 472,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,494.36 : 776,197.08 = 315,037.92 : x
  2. Step 2: Convert to fraction form
    517,494.36/776,197.08 = 315,037.92/x
  3. Step 3: Cross multiply
    517,494.36x = 776,197.08 × 315,037.92
  4. Step 4: Simplify right side
    517,494.36x = 244,531,513,593.27
  5. Step 5: Solve for x
    x = 244,531,513,593.27/517,494.36
  6. Step 6: Final answer
    x = 472,529.81

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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.