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Finding the Fourth Proportional to 389,011, 536,835.24 and 210,163

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Solution

The fourth proportional to 389,011, 536,835.24 and 210,163 is: 290,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,011 : 536,835.24 = 210,163 : x
  2. Step 2: Convert to fraction form
    389,011/536,835.24 = 210,163/x
  3. Step 3: Cross multiply
    389,011x = 536,835.24 × 210,163
  4. Step 4: Simplify right side
    389,011x = 112,822,904,544.12
  5. Step 5: Solve for x
    x = 112,822,904,544.12/389,011
  6. Step 6: Final answer
    x = 290,024.97

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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.