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Finding the Fourth Proportional to 538,209.82, 807,460.48 and 201,284.70

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Solution

The fourth proportional to 538,209.82, 807,460.48 and 201,284.70 is: 301,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,209.82 : 807,460.48 = 201,284.70 : x
  2. Step 2: Convert to fraction form
    538,209.82/807,460.48 = 201,284.70/x
  3. Step 3: Cross multiply
    538,209.82x = 807,460.48 × 201,284.70
  4. Step 4: Simplify right side
    538,209.82x = 162,529,440,478.66
  5. Step 5: Solve for x
    x = 162,529,440,478.66/538,209.82
  6. Step 6: Final answer
    x = 301,981.56

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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.