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Finding the Fourth Proportional to 305,427.20, 458,140.80 and 165,459.20

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Solution

The fourth proportional to 305,427.20, 458,140.80 and 165,459.20 is: 248,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,427.20 : 458,140.80 = 165,459.20 : x
  2. Step 2: Convert to fraction form
    305,427.20/458,140.80 = 165,459.20/x
  3. Step 3: Cross multiply
    305,427.20x = 458,140.80 × 165,459.20
  4. Step 4: Simplify right side
    305,427.20x = 75,803,610,255.36
  5. Step 5: Solve for x
    x = 75,803,610,255.36/305,427.20
  6. Step 6: Final answer
    x = 248,188.80

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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.