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Finding the Fourth Proportional to 252,292.73, 378,430.85 and 102,488.69

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Solution

The fourth proportional to 252,292.73, 378,430.85 and 102,488.69 is: 153,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,292.73 : 378,430.85 = 102,488.69 : x
  2. Step 2: Convert to fraction form
    252,292.73/378,430.85 = 102,488.69/x
  3. Step 3: Cross multiply
    252,292.73x = 378,430.85 × 102,488.69
  4. Step 4: Simplify right side
    252,292.73x = 38,784,883,274.39
  5. Step 5: Solve for x
    x = 38,784,883,274.39/252,292.73
  6. Step 6: Final answer
    x = 153,729.69

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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.