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Finding the Fourth Proportional to 472,716.82, 652,353.38 and 257,857.84

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Solution

The fourth proportional to 472,716.82, 652,353.38 and 257,857.84 is: 355,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,716.82 : 652,353.38 = 257,857.84 : x
  2. Step 2: Convert to fraction form
    472,716.82/652,353.38 = 257,857.84/x
  3. Step 3: Cross multiply
    472,716.82x = 652,353.38 × 257,857.84
  4. Step 4: Simplify right side
    472,716.82x = 168,214,433,483.50
  5. Step 5: Solve for x
    x = 168,214,433,483.50/472,716.82
  6. Step 6: Final answer
    x = 355,846.09

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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.