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Finding the Fourth Proportional to 583,763, 805,592.94 and 315,491

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Solution

The fourth proportional to 583,763, 805,592.94 and 315,491 is: 435,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,763 : 805,592.94 = 315,491 : x
  2. Step 2: Convert to fraction form
    583,763/805,592.94 = 315,491/x
  3. Step 3: Cross multiply
    583,763x = 805,592.94 × 315,491
  4. Step 4: Simplify right side
    583,763x = 254,157,322,233.54
  5. Step 5: Solve for x
    x = 254,157,322,233.54/583,763
  6. Step 6: Final answer
    x = 435,377.58

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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.