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Finding the Fourth Proportional to 421,300.42, 632,110.24 and 252,938.32

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Solution

The fourth proportional to 421,300.42, 632,110.24 and 252,938.32 is: 379,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,300.42 : 632,110.24 = 252,938.32 : x
  2. Step 2: Convert to fraction form
    421,300.42/632,110.24 = 252,938.32/x
  3. Step 3: Cross multiply
    421,300.42x = 632,110.24 × 252,938.32
  4. Step 4: Simplify right side
    421,300.42x = 159,884,902,160.40
  5. Step 5: Solve for x
    x = 159,884,902,160.40/421,300.42
  6. Step 6: Final answer
    x = 379,503.31

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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.