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Finding the Fourth Proportional to 538,399.76, 807,085.56 and 201,349.04

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Solution

The fourth proportional to 538,399.76, 807,085.56 and 201,349.04 is: 301,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,399.76 : 807,085.56 = 201,349.04 : x
  2. Step 2: Convert to fraction form
    538,399.76/807,085.56 = 201,349.04/x
  3. Step 3: Cross multiply
    538,399.76x = 807,085.56 × 201,349.04
  4. Step 4: Simplify right side
    538,399.76x = 162,505,902,703.86
  5. Step 5: Solve for x
    x = 162,505,902,703.86/538,399.76
  6. Step 6: Final answer
    x = 301,831.31

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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.