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Finding the Fourth Proportional to 421,440.52, 632,055.54 and 165,325.15

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Solution

The fourth proportional to 421,440.52, 632,055.54 and 165,325.15 is: 247,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,440.52 : 632,055.54 = 165,325.15 : x
  2. Step 2: Convert to fraction form
    421,440.52/632,055.54 = 165,325.15/x
  3. Step 3: Cross multiply
    421,440.52x = 632,055.54 × 165,325.15
  4. Step 4: Simplify right side
    421,440.52x = 104,494,676,958.83
  5. Step 5: Solve for x
    x = 104,494,676,958.83/421,440.52
  6. Step 6: Final answer
    x = 247,946.44

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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.