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Finding the Fourth Proportional to 458,169.04, 632,304.84 and 256,978

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Solution

The fourth proportional to 458,169.04, 632,304.84 and 256,978 is: 354,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,169.04 : 632,304.84 = 256,978 : x
  2. Step 2: Convert to fraction form
    458,169.04/632,304.84 = 256,978/x
  3. Step 3: Cross multiply
    458,169.04x = 632,304.84 × 256,978
  4. Step 4: Simplify right side
    458,169.04x = 162,488,433,173.52
  5. Step 5: Solve for x
    x = 162,488,433,173.52/458,169.04
  6. Step 6: Final answer
    x = 354,647.34

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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.