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Finding the Fourth Proportional to 445,143.26, 613,958.74 and 383,159.30

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Solution

The fourth proportional to 445,143.26, 613,958.74 and 383,159.30 is: 528,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,143.26 : 613,958.74 = 383,159.30 : x
  2. Step 2: Convert to fraction form
    445,143.26/613,958.74 = 383,159.30/x
  3. Step 3: Cross multiply
    445,143.26x = 613,958.74 × 383,159.30
  4. Step 4: Simplify right side
    445,143.26x = 235,243,997,019.59
  5. Step 5: Solve for x
    x = 235,243,997,019.59/445,143.26
  6. Step 6: Final answer
    x = 528,468.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.