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Finding the Fourth Proportional to 583,634.56, 805,414.72 and 315,361.92

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Solution

The fourth proportional to 583,634.56, 805,414.72 and 315,361.92 is: 435,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,634.56 : 805,414.72 = 315,361.92 : x
  2. Step 2: Convert to fraction form
    583,634.56/805,414.72 = 315,361.92/x
  3. Step 3: Cross multiply
    583,634.56x = 805,414.72 × 315,361.92
  4. Step 4: Simplify right side
    583,634.56x = 253,997,132,495.46
  5. Step 5: Solve for x
    x = 253,997,132,495.46/583,634.56
  6. Step 6: Final answer
    x = 435,198.92

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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.