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Finding the Fourth Proportional to 504,937.30, 757,029.30 and 305,215.60

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Solution

The fourth proportional to 504,937.30, 757,029.30 and 305,215.60 is: 457,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,937.30 : 757,029.30 = 305,215.60 : x
  2. Step 2: Convert to fraction form
    504,937.30/757,029.30 = 305,215.60/x
  3. Step 3: Cross multiply
    504,937.30x = 757,029.30 × 305,215.60
  4. Step 4: Simplify right side
    504,937.30x = 231,057,152,017.08
  5. Step 5: Solve for x
    x = 231,057,152,017.08/504,937.30
  6. Step 6: Final answer
    x = 457,595.73

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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.