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Finding the Fourth Proportional to 402,527.80, 603,791.70 and 165,791.80

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Solution

The fourth proportional to 402,527.80, 603,791.70 and 165,791.80 is: 248,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,527.80 : 603,791.70 = 165,791.80 : x
  2. Step 2: Convert to fraction form
    402,527.80/603,791.70 = 165,791.80/x
  3. Step 3: Cross multiply
    402,527.80x = 603,791.70 × 165,791.80
  4. Step 4: Simplify right side
    402,527.80x = 100,103,712,768.06
  5. Step 5: Solve for x
    x = 100,103,712,768.06/402,527.80
  6. Step 6: Final answer
    x = 248,687.70

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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.