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Finding the Fourth Proportional to 421,583.49, 632,376.32 and 172,265.49

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Solution

The fourth proportional to 421,583.49, 632,376.32 and 172,265.49 is: 258,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,583.49 : 632,376.32 = 172,265.49 : x
  2. Step 2: Convert to fraction form
    421,583.49/632,376.32 = 172,265.49/x
  3. Step 3: Cross multiply
    421,583.49x = 632,376.32 × 172,265.49
  4. Step 4: Simplify right side
    421,583.49x = 108,936,615,767.87
  5. Step 5: Solve for x
    x = 108,936,615,767.87/421,583.49
  6. Step 6: Final answer
    x = 258,398.68

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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.