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Finding the Fourth Proportional to 305,142.72, 457,651.53 and 115,537.68

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Solution

The fourth proportional to 305,142.72, 457,651.53 and 115,537.68 is: 173,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,142.72 : 457,651.53 = 115,537.68 : x
  2. Step 2: Convert to fraction form
    305,142.72/457,651.53 = 115,537.68/x
  3. Step 3: Cross multiply
    305,142.72x = 457,651.53 × 115,537.68
  4. Step 4: Simplify right side
    305,142.72x = 52,875,996,024.65
  5. Step 5: Solve for x
    x = 52,875,996,024.65/305,142.72
  6. Step 6: Final answer
    x = 173,282.84

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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.