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Finding the Fourth Proportional to 421,927.96, 632,687.38 and 155,813.88

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Solution

The fourth proportional to 421,927.96, 632,687.38 and 155,813.88 is: 233,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,927.96 : 632,687.38 = 155,813.88 : x
  2. Step 2: Convert to fraction form
    421,927.96/632,687.38 = 155,813.88/x
  3. Step 3: Cross multiply
    421,927.96x = 632,687.38 × 155,813.88
  4. Step 4: Simplify right side
    421,927.96x = 98,581,475,504.83
  5. Step 5: Solve for x
    x = 98,581,475,504.83/421,927.96
  6. Step 6: Final answer
    x = 233,645.28

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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.