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Finding the Fourth Proportional to 421,638.96, 632,543.16 and 155,400.96

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Solution

The fourth proportional to 421,638.96, 632,543.16 and 155,400.96 is: 233,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,638.96 : 632,543.16 = 155,400.96 : x
  2. Step 2: Convert to fraction form
    421,638.96/632,543.16 = 155,400.96/x
  3. Step 3: Cross multiply
    421,638.96x = 632,543.16 × 155,400.96
  4. Step 4: Simplify right side
    421,638.96x = 98,297,814,305.43
  5. Step 5: Solve for x
    x = 98,297,814,305.43/421,638.96
  6. Step 6: Final answer
    x = 233,132.66

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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.