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Finding the Fourth Proportional to 538,285.13, 807,400.85 and 201,301.01

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Solution

The fourth proportional to 538,285.13, 807,400.85 and 201,301.01 is: 301,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,285.13 : 807,400.85 = 201,301.01 : x
  2. Step 2: Convert to fraction form
    538,285.13/807,400.85 = 201,301.01/x
  3. Step 3: Cross multiply
    538,285.13x = 807,400.85 × 201,301.01
  4. Step 4: Simplify right side
    538,285.13x = 162,530,601,536.35
  5. Step 5: Solve for x
    x = 162,530,601,536.35/538,285.13
  6. Step 6: Final answer
    x = 301,941.47

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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.