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Finding the Fourth Proportional to 567,323.72, 782,905.11 and 312,674.84

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Solution

The fourth proportional to 567,323.72, 782,905.11 and 312,674.84 is: 431,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,323.72 : 782,905.11 = 312,674.84 : x
  2. Step 2: Convert to fraction form
    567,323.72/782,905.11 = 312,674.84/x
  3. Step 3: Cross multiply
    567,323.72x = 782,905.11 × 312,674.84
  4. Step 4: Simplify right side
    567,323.72x = 244,794,730,004.43
  5. Step 5: Solve for x
    x = 244,794,730,004.43/567,323.72
  6. Step 6: Final answer
    x = 431,490.38

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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.