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Finding the Fourth Proportional to 421,610.38, 632,459.87 and 137,323.06

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Solution

The fourth proportional to 421,610.38, 632,459.87 and 137,323.06 is: 205,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,610.38 : 632,459.87 = 137,323.06 : x
  2. Step 2: Convert to fraction form
    421,610.38/632,459.87 = 137,323.06/x
  3. Step 3: Cross multiply
    421,610.38x = 632,459.87 × 137,323.06
  4. Step 4: Simplify right side
    421,610.38x = 86,851,326,222.90
  5. Step 5: Solve for x
    x = 86,851,326,222.90/421,610.38
  6. Step 6: Final answer
    x = 205,999.02

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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.