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Finding the Fourth Proportional to 305,786.10, 458,679.15 and 258,546.90

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Solution

The fourth proportional to 305,786.10, 458,679.15 and 258,546.90 is: 387,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,786.10 : 458,679.15 = 258,546.90 : x
  2. Step 2: Convert to fraction form
    305,786.10/458,679.15 = 258,546.90/x
  3. Step 3: Cross multiply
    305,786.10x = 458,679.15 × 258,546.90
  4. Step 4: Simplify right side
    305,786.10x = 118,590,072,327.14
  5. Step 5: Solve for x
    x = 118,590,072,327.14/305,786.10
  6. Step 6: Final answer
    x = 387,820.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.