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Finding the Fourth Proportional to 402,489.86, 603,728.61 and 102,967.89

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Solution

The fourth proportional to 402,489.86, 603,728.61 and 102,967.89 is: 154,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,489.86 : 603,728.61 = 102,967.89 : x
  2. Step 2: Convert to fraction form
    402,489.86/603,728.61 = 102,967.89/x
  3. Step 3: Cross multiply
    402,489.86x = 603,728.61 × 102,967.89
  4. Step 4: Simplify right side
    402,489.86x = 62,164,661,104.33
  5. Step 5: Solve for x
    x = 62,164,661,104.33/402,489.86
  6. Step 6: Final answer
    x = 154,450.26

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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.