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Finding the Fourth Proportional to 421,712.79, 632,469.81 and 155,328.63

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Solution

The fourth proportional to 421,712.79, 632,469.81 and 155,328.63 is: 232,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,712.79 : 632,469.81 = 155,328.63 : x
  2. Step 2: Convert to fraction form
    421,712.79/632,469.81 = 155,328.63/x
  3. Step 3: Cross multiply
    421,712.79x = 632,469.81 × 155,328.63
  4. Step 4: Simplify right side
    421,712.79x = 98,240,669,103.66
  5. Step 5: Solve for x
    x = 98,240,669,103.66/421,712.79
  6. Step 6: Final answer
    x = 232,956.34

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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.