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Finding the Fourth Proportional to 390,185.92, 538,453.20 and 211,337.92

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Solution

The fourth proportional to 390,185.92, 538,453.20 and 211,337.92 is: 291,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,185.92 : 538,453.20 = 211,337.92 : x
  2. Step 2: Convert to fraction form
    390,185.92/538,453.20 = 211,337.92/x
  3. Step 3: Cross multiply
    390,185.92x = 538,453.20 × 211,337.92
  4. Step 4: Simplify right side
    390,185.92x = 113,795,579,305.34
  5. Step 5: Solve for x
    x = 113,795,579,305.34/390,185.92
  6. Step 6: Final answer
    x = 291,644.50

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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.