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Finding the Fourth Proportional to 421,874.49, 632,896.38 and 155,636.40

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Solution

The fourth proportional to 421,874.49, 632,896.38 and 155,636.40 is: 233,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,874.49 : 632,896.38 = 155,636.40 : x
  2. Step 2: Convert to fraction form
    421,874.49/632,896.38 = 155,636.40/x
  3. Step 3: Cross multiply
    421,874.49x = 632,896.38 × 155,636.40
  4. Step 4: Simplify right side
    421,874.49x = 98,501,714,156.23
  5. Step 5: Solve for x
    x = 98,501,714,156.23/421,874.49
  6. Step 6: Final answer
    x = 233,485.83

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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.