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Finding the Fourth Proportional to 421,357.38, 631,740.96 and 155,083.38

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Solution

The fourth proportional to 421,357.38, 631,740.96 and 155,083.38 is: 232,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,357.38 : 631,740.96 = 155,083.38 : x
  2. Step 2: Convert to fraction form
    421,357.38/631,740.96 = 155,083.38/x
  3. Step 3: Cross multiply
    421,357.38x = 631,740.96 × 155,083.38
  4. Step 4: Simplify right side
    421,357.38x = 97,972,523,361.24
  5. Step 5: Solve for x
    x = 97,972,523,361.24/421,357.38
  6. Step 6: Final answer
    x = 232,516.45

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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.