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Finding the Fourth Proportional to 421,951.50, 632,859.02 and 155,837.34

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Solution

The fourth proportional to 421,951.50, 632,859.02 and 155,837.34 is: 233,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,951.50 : 632,859.02 = 155,837.34 : x
  2. Step 2: Convert to fraction form
    421,951.50/632,859.02 = 155,837.34/x
  3. Step 3: Cross multiply
    421,951.50x = 632,859.02 × 155,837.34
  4. Step 4: Simplify right side
    421,951.50x = 98,623,063,107.51
  5. Step 5: Solve for x
    x = 98,623,063,107.51/421,951.50
  6. Step 6: Final answer
    x = 233,730.81

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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.