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Finding the Fourth Proportional to 538,555.30, 807,853.45 and 201,560.47

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Solution

The fourth proportional to 538,555.30, 807,853.45 and 201,560.47 is: 302,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,555.30 : 807,853.45 = 201,560.47 : x
  2. Step 2: Convert to fraction form
    538,555.30/807,853.45 = 201,560.47/x
  3. Step 3: Cross multiply
    538,555.30x = 807,853.45 × 201,560.47
  4. Step 4: Simplify right side
    538,555.30x = 162,831,318,927.51
  5. Step 5: Solve for x
    x = 162,831,318,927.51/538,555.30
  6. Step 6: Final answer
    x = 302,348.37

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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.