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Finding the Fourth Proportional to 402,142.67, 603,296.81 and 117,842.45

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Solution

The fourth proportional to 402,142.67, 603,296.81 and 117,842.45 is: 176,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,142.67 : 603,296.81 = 117,842.45 : x
  2. Step 2: Convert to fraction form
    402,142.67/603,296.81 = 117,842.45/x
  3. Step 3: Cross multiply
    402,142.67x = 603,296.81 × 117,842.45
  4. Step 4: Simplify right side
    402,142.67x = 71,093,971,003.80
  5. Step 5: Solve for x
    x = 71,093,971,003.80/402,142.67
  6. Step 6: Final answer
    x = 176,787.93

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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.