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Finding the Fourth Proportional to 421,424.10, 632,057.67 and 121,830.57

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Solution

The fourth proportional to 421,424.10, 632,057.67 and 121,830.57 is: 182,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,424.10 : 632,057.67 = 121,830.57 : x
  2. Step 2: Convert to fraction form
    421,424.10/632,057.67 = 121,830.57/x
  3. Step 3: Cross multiply
    421,424.10x = 632,057.67 × 121,830.57
  4. Step 4: Simplify right side
    421,424.10x = 77,003,946,208.97
  5. Step 5: Solve for x
    x = 77,003,946,208.97/421,424.10
  6. Step 6: Final answer
    x = 182,723.17

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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.