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Finding the Fourth Proportional to 415,808.28, 623,706.93 and 100,262.43

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Solution

The fourth proportional to 415,808.28, 623,706.93 and 100,262.43 is: 150,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,808.28 : 623,706.93 = 100,262.43 : x
  2. Step 2: Convert to fraction form
    415,808.28/623,706.93 = 100,262.43/x
  3. Step 3: Cross multiply
    415,808.28x = 623,706.93 × 100,262.43
  4. Step 4: Simplify right side
    415,808.28x = 62,534,372,409.64
  5. Step 5: Solve for x
    x = 62,534,372,409.64/415,808.28
  6. Step 6: Final answer
    x = 150,392.32

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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.