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Finding the Fourth Proportional to 418,879.80, 628,319.70 and 307,342.80

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Solution

The fourth proportional to 418,879.80, 628,319.70 and 307,342.80 is: 461,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,879.80 : 628,319.70 = 307,342.80 : x
  2. Step 2: Convert to fraction form
    418,879.80/628,319.70 = 307,342.80/x
  3. Step 3: Cross multiply
    418,879.80x = 628,319.70 × 307,342.80
  4. Step 4: Simplify right side
    418,879.80x = 193,109,535,893.16
  5. Step 5: Solve for x
    x = 193,109,535,893.16/418,879.80
  6. Step 6: Final answer
    x = 461,014.20

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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.