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Finding the Fourth Proportional to 421,630.31, 632,511.79 and 181,812.40

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Solution

The fourth proportional to 421,630.31, 632,511.79 and 181,812.40 is: 272,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,630.31 : 632,511.79 = 181,812.40 : x
  2. Step 2: Convert to fraction form
    421,630.31/632,511.79 = 181,812.40/x
  3. Step 3: Cross multiply
    421,630.31x = 632,511.79 × 181,812.40
  4. Step 4: Simplify right side
    421,630.31x = 114,998,484,532.39
  5. Step 5: Solve for x
    x = 114,998,484,532.39/421,630.31
  6. Step 6: Final answer
    x = 272,747.19

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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.