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Finding the Fourth Proportional to 421,999.88, 633,055.40 and 137,590.56

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Solution

The fourth proportional to 421,999.88, 633,055.40 and 137,590.56 is: 206,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,999.88 : 633,055.40 = 137,590.56 : x
  2. Step 2: Convert to fraction form
    421,999.88/633,055.40 = 137,590.56/x
  3. Step 3: Cross multiply
    421,999.88x = 633,055.40 × 137,590.56
  4. Step 4: Simplify right side
    421,999.88x = 87,102,446,309.07
  5. Step 5: Solve for x
    x = 87,102,446,309.07/421,999.88
  6. Step 6: Final answer
    x = 206,403.96

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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.