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Finding the Fourth Proportional to 305,739.20, 458,608.80 and 212,427.20

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Solution

The fourth proportional to 305,739.20, 458,608.80 and 212,427.20 is: 318,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,739.20 : 458,608.80 = 212,427.20 : x
  2. Step 2: Convert to fraction form
    305,739.20/458,608.80 = 212,427.20/x
  3. Step 3: Cross multiply
    305,739.20x = 458,608.80 × 212,427.20
  4. Step 4: Simplify right side
    305,739.20x = 97,420,983,279.36
  5. Step 5: Solve for x
    x = 97,420,983,279.36/305,739.20
  6. Step 6: Final answer
    x = 318,640.80

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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.