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Finding the Fourth Proportional to 567,188.35, 782,739.71 and 309,086.57

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Solution

The fourth proportional to 567,188.35, 782,739.71 and 309,086.57 is: 426,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,188.35 : 782,739.71 = 309,086.57 : x
  2. Step 2: Convert to fraction form
    567,188.35/782,739.71 = 309,086.57/x
  3. Step 3: Cross multiply
    567,188.35x = 782,739.71 × 309,086.57
  4. Step 4: Simplify right side
    567,188.35x = 241,934,333,737.19
  5. Step 5: Solve for x
    x = 241,934,333,737.19/567,188.35
  6. Step 6: Final answer
    x = 426,550.25

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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.