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Finding the Fourth Proportional to 583,687.75, 805,489.10 and 315,415.75

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Solution

The fourth proportional to 583,687.75, 805,489.10 and 315,415.75 is: 435,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,687.75 : 805,489.10 = 315,415.75 : x
  2. Step 2: Convert to fraction form
    583,687.75/805,489.10 = 315,415.75/x
  3. Step 3: Cross multiply
    583,687.75x = 805,489.10 × 315,415.75
  4. Step 4: Simplify right side
    583,687.75x = 254,063,948,593.33
  5. Step 5: Solve for x
    x = 254,063,948,593.33/583,687.75
  6. Step 6: Final answer
    x = 435,273.74

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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.