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Finding the Fourth Proportional to 613,351.90, 920,216.11 and 314,042.62

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Solution

The fourth proportional to 613,351.90, 920,216.11 and 314,042.62 is: 471,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,351.90 : 920,216.11 = 314,042.62 : x
  2. Step 2: Convert to fraction form
    613,351.90/920,216.11 = 314,042.62/x
  3. Step 3: Cross multiply
    613,351.90x = 920,216.11 × 314,042.62
  4. Step 4: Simplify right side
    613,351.90x = 288,987,078,150.61
  5. Step 5: Solve for x
    x = 288,987,078,150.61/613,351.90
  6. Step 6: Final answer
    x = 471,160.32

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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.