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Finding the Fourth Proportional to 583,444, 805,153.44 and 315,172

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Solution

The fourth proportional to 583,444, 805,153.44 and 315,172 is: 434,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,444 : 805,153.44 = 315,172 : x
  2. Step 2: Convert to fraction form
    583,444/805,153.44 = 315,172/x
  3. Step 3: Cross multiply
    583,444x = 805,153.44 × 315,172
  4. Step 4: Simplify right side
    583,444x = 253,761,819,991.68
  5. Step 5: Solve for x
    x = 253,761,819,991.68/583,444
  6. Step 6: Final answer
    x = 434,937.75

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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.