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Finding the Fourth Proportional to 538,208.82, 807,458.98 and 201,283.70

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Solution

The fourth proportional to 538,208.82, 807,458.98 and 201,283.70 is: 301,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,208.82 : 807,458.98 = 201,283.70 : x
  2. Step 2: Convert to fraction form
    538,208.82/807,458.98 = 201,283.70/x
  3. Step 3: Cross multiply
    538,208.82x = 807,458.98 × 201,283.70
  4. Step 4: Simplify right side
    538,208.82x = 162,528,331,092.63
  5. Step 5: Solve for x
    x = 162,528,331,092.63/538,208.82
  6. Step 6: Final answer
    x = 301,980.06

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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.