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Finding the Fourth Proportional to 421,483.68, 632,094 and 140,935.44

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Solution

The fourth proportional to 421,483.68, 632,094 and 140,935.44 is: 211,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,483.68 : 632,094 = 140,935.44 : x
  2. Step 2: Convert to fraction form
    421,483.68/632,094 = 140,935.44/x
  3. Step 3: Cross multiply
    421,483.68x = 632,094 × 140,935.44
  4. Step 4: Simplify right side
    421,483.68x = 89,084,446,011.36
  5. Step 5: Solve for x
    x = 89,084,446,011.36/421,483.68
  6. Step 6: Final answer
    x = 211,359.18

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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.