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Finding the Fourth Proportional to 512,041.02, 706,616.64 and 285,686.52

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Solution

The fourth proportional to 512,041.02, 706,616.64 and 285,686.52 is: 394,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,041.02 : 706,616.64 = 285,686.52 : x
  2. Step 2: Convert to fraction form
    512,041.02/706,616.64 = 285,686.52/x
  3. Step 3: Cross multiply
    512,041.02x = 706,616.64 × 285,686.52
  4. Step 4: Simplify right side
    512,041.02x = 201,870,848,855.69
  5. Step 5: Solve for x
    x = 201,870,848,855.69/512,041.02
  6. Step 6: Final answer
    x = 394,247.42

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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.