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Finding the Fourth Proportional to 567,218.19, 782,759.52 and 312,569.31

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Solution

The fourth proportional to 567,218.19, 782,759.52 and 312,569.31 is: 431,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,218.19 : 782,759.52 = 312,569.31 : x
  2. Step 2: Convert to fraction form
    567,218.19/782,759.52 = 312,569.31/x
  3. Step 3: Cross multiply
    567,218.19x = 782,759.52 × 312,569.31
  4. Step 4: Simplify right side
    567,218.19x = 244,666,603,062.33
  5. Step 5: Solve for x
    x = 244,666,603,062.33/567,218.19
  6. Step 6: Final answer
    x = 431,344.78

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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.