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Finding the Fourth Proportional to 505,317.60, 757,054.80 and 411,314.40

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Solution

The fourth proportional to 505,317.60, 757,054.80 and 411,314.40 is: 616,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,317.60 : 757,054.80 = 411,314.40 : x
  2. Step 2: Convert to fraction form
    505,317.60/757,054.80 = 411,314.40/x
  3. Step 3: Cross multiply
    505,317.60x = 757,054.80 × 411,314.40
  4. Step 4: Simplify right side
    505,317.60x = 311,387,540,829.12
  5. Step 5: Solve for x
    x = 311,387,540,829.12/505,317.60
  6. Step 6: Final answer
    x = 616,221.44

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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.