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Finding the Fourth Proportional to 437,427.90, 656,141.78 and 105,003.90

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Solution

The fourth proportional to 437,427.90, 656,141.78 and 105,003.90 is: 157,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,427.90 : 656,141.78 = 105,003.90 : x
  2. Step 2: Convert to fraction form
    437,427.90/656,141.78 = 105,003.90/x
  3. Step 3: Cross multiply
    437,427.90x = 656,141.78 × 105,003.90
  4. Step 4: Simplify right side
    437,427.90x = 68,897,445,852.94
  5. Step 5: Solve for x
    x = 68,897,445,852.94/437,427.90
  6. Step 6: Final answer
    x = 157,505.83

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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.