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Finding the Fourth Proportional to 421,485.68, 632,097 and 140,937.44

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Solution

The fourth proportional to 421,485.68, 632,097 and 140,937.44 is: 211,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,485.68 : 632,097 = 140,937.44 : x
  2. Step 2: Convert to fraction form
    421,485.68/632,097 = 140,937.44/x
  3. Step 3: Cross multiply
    421,485.68x = 632,097 × 140,937.44
  4. Step 4: Simplify right side
    421,485.68x = 89,086,133,011.68
  5. Step 5: Solve for x
    x = 89,086,133,011.68/421,485.68
  6. Step 6: Final answer
    x = 211,362.18

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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.