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Finding the Fourth Proportional to 305,223.39, 457,900.75 and 102,839.63

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Solution

The fourth proportional to 305,223.39, 457,900.75 and 102,839.63 is: 154,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,223.39 : 457,900.75 = 102,839.63 : x
  2. Step 2: Convert to fraction form
    305,223.39/457,900.75 = 102,839.63/x
  3. Step 3: Cross multiply
    305,223.39x = 457,900.75 × 102,839.63
  4. Step 4: Simplify right side
    305,223.39x = 47,090,340,967.30
  5. Step 5: Solve for x
    x = 47,090,340,967.30/305,223.39
  6. Step 6: Final answer
    x = 154,281.56

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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.