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Finding the Fourth Proportional to 421,951.75, 632,859.39 and 155,837.59

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Solution

The fourth proportional to 421,951.75, 632,859.39 and 155,837.59 is: 233,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,951.75 : 632,859.39 = 155,837.59 : x
  2. Step 2: Convert to fraction form
    421,951.75/632,859.39 = 155,837.59/x
  3. Step 3: Cross multiply
    421,951.75x = 632,859.39 × 155,837.59
  4. Step 4: Simplify right side
    421,951.75x = 98,623,282,146.47
  5. Step 5: Solve for x
    x = 98,623,282,146.47/421,951.75
  6. Step 6: Final answer
    x = 233,731.18

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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.