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Finding the Fourth Proportional to 415,554, 623,434.68 and 120,066

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Solution

The fourth proportional to 415,554, 623,434.68 and 120,066 is: 180,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,554 : 623,434.68 = 120,066 : x
  2. Step 2: Convert to fraction form
    415,554/623,434.68 = 120,066/x
  3. Step 3: Cross multiply
    415,554x = 623,434.68 × 120,066
  4. Step 4: Simplify right side
    415,554x = 74,853,308,288.88
  5. Step 5: Solve for x
    x = 74,853,308,288.88/415,554
  6. Step 6: Final answer
    x = 180,128.96

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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.