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Finding the Fourth Proportional to 421,735.86, 632,571.39 and 155,446.74

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Solution

The fourth proportional to 421,735.86, 632,571.39 and 155,446.74 is: 233,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,735.86 : 632,571.39 = 155,446.74 : x
  2. Step 2: Convert to fraction form
    421,735.86/632,571.39 = 155,446.74/x
  3. Step 3: Cross multiply
    421,735.86x = 632,571.39 × 155,446.74
  4. Step 4: Simplify right side
    421,735.86x = 98,331,160,392.77
  5. Step 5: Solve for x
    x = 98,331,160,392.77/421,735.86
  6. Step 6: Final answer
    x = 233,158.17

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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.