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Finding the Fourth Proportional to 313,003.78, 470,169.53 and 294,782.42

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Solution

The fourth proportional to 313,003.78, 470,169.53 and 294,782.42 is: 442,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,003.78 : 470,169.53 = 294,782.42 : x
  2. Step 2: Convert to fraction form
    313,003.78/470,169.53 = 294,782.42/x
  3. Step 3: Cross multiply
    313,003.78x = 470,169.53 × 294,782.42
  4. Step 4: Simplify right side
    313,003.78x = 138,597,712,670.61
  5. Step 5: Solve for x
    x = 138,597,712,670.61/313,003.78
  6. Step 6: Final answer
    x = 442,798.85

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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.