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Finding the Fourth Proportional to 567,241.31, 782,809.41 and 312,608.90

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Solution

The fourth proportional to 567,241.31, 782,809.41 and 312,608.90 is: 431,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,241.31 : 782,809.41 = 312,608.90 : x
  2. Step 2: Convert to fraction form
    567,241.31/782,809.41 = 312,608.90/x
  3. Step 3: Cross multiply
    567,241.31x = 782,809.41 × 312,608.90
  4. Step 4: Simplify right side
    567,241.31x = 244,713,191,699.06
  5. Step 5: Solve for x
    x = 244,713,191,699.06/567,241.31
  6. Step 6: Final answer
    x = 431,409.32

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1.5x scale

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.